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Finding the Fourth Proportional to 9,985.31, 13,780.49 and 5,509.92

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Solution

The fourth proportional to 9,985.31, 13,780.49 and 5,509.92 is: 7,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.31 : 13,780.49 = 5,509.92 : x
  2. Step 2: Convert to fraction form
    9,985.31/13,780.49 = 5,509.92/x
  3. Step 3: Cross multiply
    9,985.31x = 13,780.49 × 5,509.92
  4. Step 4: Simplify right side
    9,985.31x = 75,929,369.91
  5. Step 5: Solve for x
    x = 75,929,369.91/9,985.31
  6. Step 6: Final answer
    x = 7,604.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.