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Finding the Fourth Proportional to 9,577.78, 14,349.37 and 4,021.18

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Solution

The fourth proportional to 9,577.78, 14,349.37 and 4,021.18 is: 6,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.78 : 14,349.37 = 4,021.18 : x
  2. Step 2: Convert to fraction form
    9,577.78/14,349.37 = 4,021.18/x
  3. Step 3: Cross multiply
    9,577.78x = 14,349.37 × 4,021.18
  4. Step 4: Simplify right side
    9,577.78x = 57,701,326.76
  5. Step 5: Solve for x
    x = 57,701,326.76/9,577.78
  6. Step 6: Final answer
    x = 6,024.50

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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.