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Finding the Fourth Proportional to 9,306.47, 12,842.89 and 5,057.51

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Solution

The fourth proportional to 9,306.47, 12,842.89 and 5,057.51 is: 6,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.47 : 12,842.89 = 5,057.51 : x
  2. Step 2: Convert to fraction form
    9,306.47/12,842.89 = 5,057.51/x
  3. Step 3: Cross multiply
    9,306.47x = 12,842.89 × 5,057.51
  4. Step 4: Simplify right side
    9,306.47x = 64,952,967.75
  5. Step 5: Solve for x
    x = 64,952,967.75/9,306.47
  6. Step 6: Final answer
    x = 6,979.33

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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.