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Finding the Fourth Proportional to 9,616.88, 14,431.80 and 4,353.32

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Solution

The fourth proportional to 9,616.88, 14,431.80 and 4,353.32 is: 6,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.88 : 14,431.80 = 4,353.32 : x
  2. Step 2: Convert to fraction form
    9,616.88/14,431.80 = 4,353.32/x
  3. Step 3: Cross multiply
    9,616.88x = 14,431.80 × 4,353.32
  4. Step 4: Simplify right side
    9,616.88x = 62,826,243.58
  5. Step 5: Solve for x
    x = 62,826,243.58/9,616.88
  6. Step 6: Final answer
    x = 6,532.91

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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.