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Finding the Fourth Proportional to 9,875.71, 13,626.60 and 5,843.17

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Solution

The fourth proportional to 9,875.71, 13,626.60 and 5,843.17 is: 8,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.71 : 13,626.60 = 5,843.17 : x
  2. Step 2: Convert to fraction form
    9,875.71/13,626.60 = 5,843.17/x
  3. Step 3: Cross multiply
    9,875.71x = 13,626.60 × 5,843.17
  4. Step 4: Simplify right side
    9,875.71x = 79,622,540.32
  5. Step 5: Solve for x
    x = 79,622,540.32/9,875.71
  6. Step 6: Final answer
    x = 8,062.46

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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.