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Finding the Fourth Proportional to 9,920.82, 14,877.72 and 7,139.20

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Solution

The fourth proportional to 9,920.82, 14,877.72 and 7,139.20 is: 10,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.82 : 14,877.72 = 7,139.20 : x
  2. Step 2: Convert to fraction form
    9,920.82/14,877.72 = 7,139.20/x
  3. Step 3: Cross multiply
    9,920.82x = 14,877.72 × 7,139.20
  4. Step 4: Simplify right side
    9,920.82x = 106,215,018.62
  5. Step 5: Solve for x
    x = 106,215,018.62/9,920.82
  6. Step 6: Final answer
    x = 10,706.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.