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Finding the Fourth Proportional to 9,908.04, 13,673.36 and 5,432

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Solution

The fourth proportional to 9,908.04, 13,673.36 and 5,432 is: 7,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.04 : 13,673.36 = 5,432 : x
  2. Step 2: Convert to fraction form
    9,908.04/13,673.36 = 5,432/x
  3. Step 3: Cross multiply
    9,908.04x = 13,673.36 × 5,432
  4. Step 4: Simplify right side
    9,908.04x = 74,273,691.52
  5. Step 5: Solve for x
    x = 74,273,691.52/9,908.04
  6. Step 6: Final answer
    x = 7,496.31

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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.