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Finding the Fourth Proportional to 9,613.10, 14,419.65 and 6,502.70

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Solution

The fourth proportional to 9,613.10, 14,419.65 and 6,502.70 is: 9,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.10 : 14,419.65 = 6,502.70 : x
  2. Step 2: Convert to fraction form
    9,613.10/14,419.65 = 6,502.70/x
  3. Step 3: Cross multiply
    9,613.10x = 14,419.65 × 6,502.70
  4. Step 4: Simplify right side
    9,613.10x = 93,766,658.06
  5. Step 5: Solve for x
    x = 93,766,658.06/9,613.10
  6. Step 6: Final answer
    x = 9,754.05

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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.