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Finding the Fourth Proportional to 9,616.44, 14,429.52 and 4,425.96

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Solution

The fourth proportional to 9,616.44, 14,429.52 and 4,425.96 is: 6,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.44 : 14,429.52 = 4,425.96 : x
  2. Step 2: Convert to fraction form
    9,616.44/14,429.52 = 4,425.96/x
  3. Step 3: Cross multiply
    9,616.44x = 14,429.52 × 4,425.96
  4. Step 4: Simplify right side
    9,616.44x = 63,864,478.34
  5. Step 5: Solve for x
    x = 63,864,478.34/9,616.44
  6. Step 6: Final answer
    x = 6,641.18

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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.