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Finding the Fourth Proportional to 10,294.32, 14,202.10 and 6,713.44

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Solution

The fourth proportional to 10,294.32, 14,202.10 and 6,713.44 is: 9,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.32 : 14,202.10 = 6,713.44 : x
  2. Step 2: Convert to fraction form
    10,294.32/14,202.10 = 6,713.44/x
  3. Step 3: Cross multiply
    10,294.32x = 14,202.10 × 6,713.44
  4. Step 4: Simplify right side
    10,294.32x = 95,344,990.65
  5. Step 5: Solve for x
    x = 95,344,990.65/10,294.32
  6. Step 6: Final answer
    x = 9,261.91

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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.