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Finding the Fourth Proportional to 9,143.80, 12,609.61 and 7,727.52

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Solution

The fourth proportional to 9,143.80, 12,609.61 and 7,727.52 is: 10,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.80 : 12,609.61 = 7,727.52 : x
  2. Step 2: Convert to fraction form
    9,143.80/12,609.61 = 7,727.52/x
  3. Step 3: Cross multiply
    9,143.80x = 12,609.61 × 7,727.52
  4. Step 4: Simplify right side
    9,143.80x = 97,441,013.47
  5. Step 5: Solve for x
    x = 97,441,013.47/9,143.80
  6. Step 6: Final answer
    x = 10,656.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.