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Finding the Fourth Proportional to 9,302.16, 13,962.96 and 6,839.76

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Solution

The fourth proportional to 9,302.16, 13,962.96 and 6,839.76 is: 10,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.16 : 13,962.96 = 6,839.76 : x
  2. Step 2: Convert to fraction form
    9,302.16/13,962.96 = 6,839.76/x
  3. Step 3: Cross multiply
    9,302.16x = 13,962.96 × 6,839.76
  4. Step 4: Simplify right side
    9,302.16x = 95,503,295.29
  5. Step 5: Solve for x
    x = 95,503,295.29/9,302.16
  6. Step 6: Final answer
    x = 10,266.79

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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.