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Finding the Fourth Proportional to 6,272.64, 9,409.28 and 2,377.36

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Solution

The fourth proportional to 6,272.64, 9,409.28 and 2,377.36 is: 3,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.64 : 9,409.28 = 2,377.36 : x
  2. Step 2: Convert to fraction form
    6,272.64/9,409.28 = 2,377.36/x
  3. Step 3: Cross multiply
    6,272.64x = 9,409.28 × 2,377.36
  4. Step 4: Simplify right side
    6,272.64x = 22,369,245.90
  5. Step 5: Solve for x
    x = 22,369,245.90/6,272.64
  6. Step 6: Final answer
    x = 3,566.16

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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.