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Finding the Fourth Proportional to 9,857.17, 13,587.78 and 7,864.57

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Solution

The fourth proportional to 9,857.17, 13,587.78 and 7,864.57 is: 10,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.17 : 13,587.78 = 7,864.57 : x
  2. Step 2: Convert to fraction form
    9,857.17/13,587.78 = 7,864.57/x
  3. Step 3: Cross multiply
    9,857.17x = 13,587.78 × 7,864.57
  4. Step 4: Simplify right side
    9,857.17x = 106,862,046.95
  5. Step 5: Solve for x
    x = 106,862,046.95/9,857.17
  6. Step 6: Final answer
    x = 10,841.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.