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Finding the Fourth Proportional to 6,425.28, 9,635.64 and 2,264.40

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Solution

The fourth proportional to 6,425.28, 9,635.64 and 2,264.40 is: 3,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.28 : 9,635.64 = 2,264.40 : x
  2. Step 2: Convert to fraction form
    6,425.28/9,635.64 = 2,264.40/x
  3. Step 3: Cross multiply
    6,425.28x = 9,635.64 × 2,264.40
  4. Step 4: Simplify right side
    6,425.28x = 21,818,943.22
  5. Step 5: Solve for x
    x = 21,818,943.22/6,425.28
  6. Step 6: Final answer
    x = 3,395.80

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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.