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Finding the Fourth Proportional to 9,114.38, 13,671.56 and 2,958.38

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Solution

The fourth proportional to 9,114.38, 13,671.56 and 2,958.38 is: 4,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.38 : 13,671.56 = 2,958.38 : x
  2. Step 2: Convert to fraction form
    9,114.38/13,671.56 = 2,958.38/x
  3. Step 3: Cross multiply
    9,114.38x = 13,671.56 × 2,958.38
  4. Step 4: Simplify right side
    9,114.38x = 40,445,608.71
  5. Step 5: Solve for x
    x = 40,445,608.71/9,114.38
  6. Step 6: Final answer
    x = 4,437.56

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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.