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Finding the Fourth Proportional to 9,304.92, 12,840.26 and 5,113.17

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Solution

The fourth proportional to 9,304.92, 12,840.26 and 5,113.17 is: 7,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.92 : 12,840.26 = 5,113.17 : x
  2. Step 2: Convert to fraction form
    9,304.92/12,840.26 = 5,113.17/x
  3. Step 3: Cross multiply
    9,304.92x = 12,840.26 × 5,113.17
  4. Step 4: Simplify right side
    9,304.92x = 65,654,406.66
  5. Step 5: Solve for x
    x = 65,654,406.66/9,304.92
  6. Step 6: Final answer
    x = 7,055.88

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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.