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Finding the Fourth Proportional to 9,240.68, 13,861.04 and 2,315.20

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Solution

The fourth proportional to 9,240.68, 13,861.04 and 2,315.20 is: 3,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.68 : 13,861.04 = 2,315.20 : x
  2. Step 2: Convert to fraction form
    9,240.68/13,861.04 = 2,315.20/x
  3. Step 3: Cross multiply
    9,240.68x = 13,861.04 × 2,315.20
  4. Step 4: Simplify right side
    9,240.68x = 32,091,079.81
  5. Step 5: Solve for x
    x = 32,091,079.81/9,240.68
  6. Step 6: Final answer
    x = 3,472.81

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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.