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Finding the Fourth Proportional to 9,625.28, 14,443.68 and 8,841.92

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Solution

The fourth proportional to 9,625.28, 14,443.68 and 8,841.92 is: 13,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.28 : 14,443.68 = 8,841.92 : x
  2. Step 2: Convert to fraction form
    9,625.28/14,443.68 = 8,841.92/x
  3. Step 3: Cross multiply
    9,625.28x = 14,443.68 × 8,841.92
  4. Step 4: Simplify right side
    9,625.28x = 127,709,863.07
  5. Step 5: Solve for x
    x = 127,709,863.07/9,625.28
  6. Step 6: Final answer
    x = 13,268.17

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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.