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Finding the Fourth Proportional to 9,137.12, 12,597 and 7,139.84

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Solution

The fourth proportional to 9,137.12, 12,597 and 7,139.84 is: 9,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.12 : 12,597 = 7,139.84 : x
  2. Step 2: Convert to fraction form
    9,137.12/12,597 = 7,139.84/x
  3. Step 3: Cross multiply
    9,137.12x = 12,597 × 7,139.84
  4. Step 4: Simplify right side
    9,137.12x = 89,940,564.48
  5. Step 5: Solve for x
    x = 89,940,564.48/9,137.12
  6. Step 6: Final answer
    x = 9,843.43

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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.