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Finding the Fourth Proportional to 7,178.32, 9,909.11 and 6,729.94

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Solution

The fourth proportional to 7,178.32, 9,909.11 and 6,729.94 is: 9,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.32 : 9,909.11 = 6,729.94 : x
  2. Step 2: Convert to fraction form
    7,178.32/9,909.11 = 6,729.94/x
  3. Step 3: Cross multiply
    7,178.32x = 9,909.11 × 6,729.94
  4. Step 4: Simplify right side
    7,178.32x = 66,687,715.75
  5. Step 5: Solve for x
    x = 66,687,715.75/7,178.32
  6. Step 6: Final answer
    x = 9,290.16

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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.