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Finding the Fourth Proportional to 9,614.61, 14,403.18 and 6,317.76

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Solution

The fourth proportional to 9,614.61, 14,403.18 and 6,317.76 is: 9,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.61 : 14,403.18 = 6,317.76 : x
  2. Step 2: Convert to fraction form
    9,614.61/14,403.18 = 6,317.76/x
  3. Step 3: Cross multiply
    9,614.61x = 14,403.18 × 6,317.76
  4. Step 4: Simplify right side
    9,614.61x = 90,995,834.48
  5. Step 5: Solve for x
    x = 90,995,834.48/9,614.61
  6. Step 6: Final answer
    x = 9,464.33

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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.