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Finding the Fourth Proportional to 9,613.62, 14,427.72 and 6,486.21

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Solution

The fourth proportional to 9,613.62, 14,427.72 and 6,486.21 is: 9,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.62 : 14,427.72 = 6,486.21 : x
  2. Step 2: Convert to fraction form
    9,613.62/14,427.72 = 6,486.21/x
  3. Step 3: Cross multiply
    9,613.62x = 14,427.72 × 6,486.21
  4. Step 4: Simplify right side
    9,613.62x = 93,581,221.74
  5. Step 5: Solve for x
    x = 93,581,221.74/9,613.62
  6. Step 6: Final answer
    x = 9,734.23

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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.