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Finding the Fourth Proportional to 9,306.54, 12,842.70 and 5,114.76

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Solution

The fourth proportional to 9,306.54, 12,842.70 and 5,114.76 is: 7,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.54 : 12,842.70 = 5,114.76 : x
  2. Step 2: Convert to fraction form
    9,306.54/12,842.70 = 5,114.76/x
  3. Step 3: Cross multiply
    9,306.54x = 12,842.70 × 5,114.76
  4. Step 4: Simplify right side
    9,306.54x = 65,687,328.25
  5. Step 5: Solve for x
    x = 65,687,328.25/9,306.54
  6. Step 6: Final answer
    x = 7,058.19

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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.