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Finding the Fourth Proportional to 6,425.63, 9,639.20 and 2,264.77

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Solution

The fourth proportional to 6,425.63, 9,639.20 and 2,264.77 is: 3,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.63 : 9,639.20 = 2,264.77 : x
  2. Step 2: Convert to fraction form
    6,425.63/9,639.20 = 2,264.77/x
  3. Step 3: Cross multiply
    6,425.63x = 9,639.20 × 2,264.77
  4. Step 4: Simplify right side
    6,425.63x = 21,830,552.55
  5. Step 5: Solve for x
    x = 21,830,552.55/6,425.63
  6. Step 6: Final answer
    x = 3,397.42

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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.