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Finding the Fourth Proportional to 6,274.24, 9,407.76 and 2,376.16

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Solution

The fourth proportional to 6,274.24, 9,407.76 and 2,376.16 is: 3,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.24 : 9,407.76 = 2,376.16 : x
  2. Step 2: Convert to fraction form
    6,274.24/9,407.76 = 2,376.16/x
  3. Step 3: Cross multiply
    6,274.24x = 9,407.76 × 2,376.16
  4. Step 4: Simplify right side
    6,274.24x = 22,354,343.00
  5. Step 5: Solve for x
    x = 22,354,343.00/6,274.24
  6. Step 6: Final answer
    x = 3,562.88

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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.