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Finding the Fourth Proportional to 9,247.59, 13,864.91 and 4,314.29

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Solution

The fourth proportional to 9,247.59, 13,864.91 and 4,314.29 is: 6,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.59 : 13,864.91 = 4,314.29 : x
  2. Step 2: Convert to fraction form
    9,247.59/13,864.91 = 4,314.29/x
  3. Step 3: Cross multiply
    9,247.59x = 13,864.91 × 4,314.29
  4. Step 4: Simplify right side
    9,247.59x = 59,817,151.67
  5. Step 5: Solve for x
    x = 59,817,151.67/9,247.59
  6. Step 6: Final answer
    x = 6,468.40

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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.