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Finding the Fourth Proportional to 9,143.15, 12,617.61 and 5,787.41

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Solution

The fourth proportional to 9,143.15, 12,617.61 and 5,787.41 is: 7,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.15 : 12,617.61 = 5,787.41 : x
  2. Step 2: Convert to fraction form
    9,143.15/12,617.61 = 5,787.41/x
  3. Step 3: Cross multiply
    9,143.15x = 12,617.61 × 5,787.41
  4. Step 4: Simplify right side
    9,143.15x = 73,023,282.29
  5. Step 5: Solve for x
    x = 73,023,282.29/9,143.15
  6. Step 6: Final answer
    x = 7,986.67

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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.