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Finding the Fourth Proportional to 9,071.39, 12,507.40 and 6,233.15

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Solution

The fourth proportional to 9,071.39, 12,507.40 and 6,233.15 is: 8,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.39 : 12,507.40 = 6,233.15 : x
  2. Step 2: Convert to fraction form
    9,071.39/12,507.40 = 6,233.15/x
  3. Step 3: Cross multiply
    9,071.39x = 12,507.40 × 6,233.15
  4. Step 4: Simplify right side
    9,071.39x = 77,960,500.31
  5. Step 5: Solve for x
    x = 77,960,500.31/9,071.39
  6. Step 6: Final answer
    x = 8,594.11

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Why These Related Problems?

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