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Finding the Fourth Proportional to 9,909.72, 14,864.04 and 4,064.76

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Solution

The fourth proportional to 9,909.72, 14,864.04 and 4,064.76 is: 6,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.72 : 14,864.04 = 4,064.76 : x
  2. Step 2: Convert to fraction form
    9,909.72/14,864.04 = 4,064.76/x
  3. Step 3: Cross multiply
    9,909.72x = 14,864.04 × 4,064.76
  4. Step 4: Simplify right side
    9,909.72x = 60,418,755.23
  5. Step 5: Solve for x
    x = 60,418,755.23/9,909.72
  6. Step 6: Final answer
    x = 6,096.92

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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.