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Finding the Fourth Proportional to 9,252.64, 13,891.29 and 7,874.83

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Solution

The fourth proportional to 9,252.64, 13,891.29 and 7,874.83 is: 11,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.64 : 13,891.29 = 7,874.83 : x
  2. Step 2: Convert to fraction form
    9,252.64/13,891.29 = 7,874.83/x
  3. Step 3: Cross multiply
    9,252.64x = 13,891.29 × 7,874.83
  4. Step 4: Simplify right side
    9,252.64x = 109,391,547.23
  5. Step 5: Solve for x
    x = 109,391,547.23/9,252.64
  6. Step 6: Final answer
    x = 11,822.74

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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.