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Finding the Fourth Proportional to 9,906.16, 13,669.88 and 5,429

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Solution

The fourth proportional to 9,906.16, 13,669.88 and 5,429 is: 7,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.16 : 13,669.88 = 5,429 : x
  2. Step 2: Convert to fraction form
    9,906.16/13,669.88 = 5,429/x
  3. Step 3: Cross multiply
    9,906.16x = 13,669.88 × 5,429
  4. Step 4: Simplify right side
    9,906.16x = 74,213,778.52
  5. Step 5: Solve for x
    x = 74,213,778.52/9,906.16
  6. Step 6: Final answer
    x = 7,491.68

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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.