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Finding the Fourth Proportional to 10,644.72, 14,691.02 and 6,109.08

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Solution

The fourth proportional to 10,644.72, 14,691.02 and 6,109.08 is: 8,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.72 : 14,691.02 = 6,109.08 : x
  2. Step 2: Convert to fraction form
    10,644.72/14,691.02 = 6,109.08/x
  3. Step 3: Cross multiply
    10,644.72x = 14,691.02 × 6,109.08
  4. Step 4: Simplify right side
    10,644.72x = 89,748,616.46
  5. Step 5: Solve for x
    x = 89,748,616.46/10,644.72
  6. Step 6: Final answer
    x = 8,431.28

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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.