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Finding the Fourth Proportional to 9,616.28, 14,411.82 and 4,932.32

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Solution

The fourth proportional to 9,616.28, 14,411.82 and 4,932.32 is: 7,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.28 : 14,411.82 = 4,932.32 : x
  2. Step 2: Convert to fraction form
    9,616.28/14,411.82 = 4,932.32/x
  3. Step 3: Cross multiply
    9,616.28x = 14,411.82 × 4,932.32
  4. Step 4: Simplify right side
    9,616.28x = 71,083,708.02
  5. Step 5: Solve for x
    x = 71,083,708.02/9,616.28
  6. Step 6: Final answer
    x = 7,392.02

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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.