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Finding the Fourth Proportional to 9,707.20, 14,560.80 and 8,613.70

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Solution

The fourth proportional to 9,707.20, 14,560.80 and 8,613.70 is: 12,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.20 : 14,560.80 = 8,613.70 : x
  2. Step 2: Convert to fraction form
    9,707.20/14,560.80 = 8,613.70/x
  3. Step 3: Cross multiply
    9,707.20x = 14,560.80 × 8,613.70
  4. Step 4: Simplify right side
    9,707.20x = 125,422,362.96
  5. Step 5: Solve for x
    x = 125,422,362.96/9,707.20
  6. Step 6: Final answer
    x = 12,920.55

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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.