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Finding the Fourth Proportional to 8,934.71, 12,324.03 and 5,742.98

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Solution

The fourth proportional to 8,934.71, 12,324.03 and 5,742.98 is: 7,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.71 : 12,324.03 = 5,742.98 : x
  2. Step 2: Convert to fraction form
    8,934.71/12,324.03 = 5,742.98/x
  3. Step 3: Cross multiply
    8,934.71x = 12,324.03 × 5,742.98
  4. Step 4: Simplify right side
    8,934.71x = 70,776,657.81
  5. Step 5: Solve for x
    x = 70,776,657.81/8,934.71
  6. Step 6: Final answer
    x = 7,921.54

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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.