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Finding the Fourth Proportional to 9,613.04, 14,419.68 and 3,772.40

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Solution

The fourth proportional to 9,613.04, 14,419.68 and 3,772.40 is: 5,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.04 : 14,419.68 = 3,772.40 : x
  2. Step 2: Convert to fraction form
    9,613.04/14,419.68 = 3,772.40/x
  3. Step 3: Cross multiply
    9,613.04x = 14,419.68 × 3,772.40
  4. Step 4: Simplify right side
    9,613.04x = 54,396,800.83
  5. Step 5: Solve for x
    x = 54,396,800.83/9,613.04
  6. Step 6: Final answer
    x = 5,658.65

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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.