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Finding the Fourth Proportional to 9,713.04, 14,565.68 and 4,168.88

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Solution

The fourth proportional to 9,713.04, 14,565.68 and 4,168.88 is: 6,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.04 : 14,565.68 = 4,168.88 : x
  2. Step 2: Convert to fraction form
    9,713.04/14,565.68 = 4,168.88/x
  3. Step 3: Cross multiply
    9,713.04x = 14,565.68 × 4,168.88
  4. Step 4: Simplify right side
    9,713.04x = 60,722,572.04
  5. Step 5: Solve for x
    x = 60,722,572.04/9,713.04
  6. Step 6: Final answer
    x = 6,251.65

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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.