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Finding the Fourth Proportional to 8,942.56, 13,414.43 and 2,368.66

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Solution

The fourth proportional to 8,942.56, 13,414.43 and 2,368.66 is: 3,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.56 : 13,414.43 = 2,368.66 : x
  2. Step 2: Convert to fraction form
    8,942.56/13,414.43 = 2,368.66/x
  3. Step 3: Cross multiply
    8,942.56x = 13,414.43 × 2,368.66
  4. Step 4: Simplify right side
    8,942.56x = 31,774,223.76
  5. Step 5: Solve for x
    x = 31,774,223.76/8,942.56
  6. Step 6: Final answer
    x = 3,553.15

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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.