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Finding the Fourth Proportional to 9,031.49, 12,435.77 and 7,906.13

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Solution

The fourth proportional to 9,031.49, 12,435.77 and 7,906.13 is: 10,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.49 : 12,435.77 = 7,906.13 : x
  2. Step 2: Convert to fraction form
    9,031.49/12,435.77 = 7,906.13/x
  3. Step 3: Cross multiply
    9,031.49x = 12,435.77 × 7,906.13
  4. Step 4: Simplify right side
    9,031.49x = 98,318,774.74
  5. Step 5: Solve for x
    x = 98,318,774.74/9,031.49
  6. Step 6: Final answer
    x = 10,886.22

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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.