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Finding the Fourth Proportional to 9,972.14, 13,756.92 and 6,385.40

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Solution

The fourth proportional to 9,972.14, 13,756.92 and 6,385.40 is: 8,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.14 : 13,756.92 = 6,385.40 : x
  2. Step 2: Convert to fraction form
    9,972.14/13,756.92 = 6,385.40/x
  3. Step 3: Cross multiply
    9,972.14x = 13,756.92 × 6,385.40
  4. Step 4: Simplify right side
    9,972.14x = 87,843,436.97
  5. Step 5: Solve for x
    x = 87,843,436.97/9,972.14
  6. Step 6: Final answer
    x = 8,808.89

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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.