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Finding the Fourth Proportional to 9,079.65, 12,534.01 and 6,842.30

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Solution

The fourth proportional to 9,079.65, 12,534.01 and 6,842.30 is: 9,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.65 : 12,534.01 = 6,842.30 : x
  2. Step 2: Convert to fraction form
    9,079.65/12,534.01 = 6,842.30/x
  3. Step 3: Cross multiply
    9,079.65x = 12,534.01 × 6,842.30
  4. Step 4: Simplify right side
    9,079.65x = 85,761,376.85
  5. Step 5: Solve for x
    x = 85,761,376.85/9,079.65
  6. Step 6: Final answer
    x = 9,445.45

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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.