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Finding the Fourth Proportional to 9,658,978.80, 14,488,468.20 and 4,350,562.80

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Solution

The fourth proportional to 9,658,978.80, 14,488,468.20 and 4,350,562.80 is: 6,525,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658,978.80 : 14,488,468.20 = 4,350,562.80 : x
  2. Step 2: Convert to fraction form
    9,658,978.80/14,488,468.20 = 4,350,562.80/x
  3. Step 3: Cross multiply
    9,658,978.80x = 14,488,468.20 × 4,350,562.80
  4. Step 4: Simplify right side
    9,658,978.80x = 63,032,990,779,902.95
  5. Step 5: Solve for x
    x = 63,032,990,779,902.95/9,658,978.80
  6. Step 6: Final answer
    x = 6,525,844.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.