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Finding the Fourth Proportional to 9,031.97, 12,463.62 and 4,998.62

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Solution

The fourth proportional to 9,031.97, 12,463.62 and 4,998.62 is: 6,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.97 : 12,463.62 = 4,998.62 : x
  2. Step 2: Convert to fraction form
    9,031.97/12,463.62 = 4,998.62/x
  3. Step 3: Cross multiply
    9,031.97x = 12,463.62 × 4,998.62
  4. Step 4: Simplify right side
    9,031.97x = 62,300,900.20
  5. Step 5: Solve for x
    x = 62,300,900.20/9,031.97
  6. Step 6: Final answer
    x = 6,897.82

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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.