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Finding the Fourth Proportional to 6,414.72, 9,625.60 and 2,952.32

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Solution

The fourth proportional to 6,414.72, 9,625.60 and 2,952.32 is: 4,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.72 : 9,625.60 = 2,952.32 : x
  2. Step 2: Convert to fraction form
    6,414.72/9,625.60 = 2,952.32/x
  3. Step 3: Cross multiply
    6,414.72x = 9,625.60 × 2,952.32
  4. Step 4: Simplify right side
    6,414.72x = 28,417,851.39
  5. Step 5: Solve for x
    x = 28,417,851.39/6,414.72
  6. Step 6: Final answer
    x = 4,430.10

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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.