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Finding the Fourth Proportional to 9,301.69, 12,837.18 and 6,115.15

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Solution

The fourth proportional to 9,301.69, 12,837.18 and 6,115.15 is: 8,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.69 : 12,837.18 = 6,115.15 : x
  2. Step 2: Convert to fraction form
    9,301.69/12,837.18 = 6,115.15/x
  3. Step 3: Cross multiply
    9,301.69x = 12,837.18 × 6,115.15
  4. Step 4: Simplify right side
    9,301.69x = 78,501,281.28
  5. Step 5: Solve for x
    x = 78,501,281.28/9,301.69
  6. Step 6: Final answer
    x = 8,439.46

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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.