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Finding the Fourth Proportional to 9,811.90, 14,698.14 and 4,539.52

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Solution

The fourth proportional to 9,811.90, 14,698.14 and 4,539.52 is: 6,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.90 : 14,698.14 = 4,539.52 : x
  2. Step 2: Convert to fraction form
    9,811.90/14,698.14 = 4,539.52/x
  3. Step 3: Cross multiply
    9,811.90x = 14,698.14 × 4,539.52
  4. Step 4: Simplify right side
    9,811.90x = 66,722,500.49
  5. Step 5: Solve for x
    x = 66,722,500.49/9,811.90
  6. Step 6: Final answer
    x = 6,800.16

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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.