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Finding the Fourth Proportional to 9,146.71, 13,642.79 and 8,869.83

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Solution

The fourth proportional to 9,146.71, 13,642.79 and 8,869.83 is: 13,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.71 : 13,642.79 = 8,869.83 : x
  2. Step 2: Convert to fraction form
    9,146.71/13,642.79 = 8,869.83/x
  3. Step 3: Cross multiply
    9,146.71x = 13,642.79 × 8,869.83
  4. Step 4: Simplify right side
    9,146.71x = 121,009,228.03
  5. Step 5: Solve for x
    x = 121,009,228.03/9,146.71
  6. Step 6: Final answer
    x = 13,229.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.