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Finding the Fourth Proportional to 9,952.24, 14,930.68 and 3,712.28

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Solution

The fourth proportional to 9,952.24, 14,930.68 and 3,712.28 is: 5,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.24 : 14,930.68 = 3,712.28 : x
  2. Step 2: Convert to fraction form
    9,952.24/14,930.68 = 3,712.28/x
  3. Step 3: Cross multiply
    9,952.24x = 14,930.68 × 3,712.28
  4. Step 4: Simplify right side
    9,952.24x = 55,426,864.75
  5. Step 5: Solve for x
    x = 55,426,864.75/9,952.24
  6. Step 6: Final answer
    x = 5,569.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.