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Finding the Fourth Proportional to 9,254.18, 12,780.09 and 5,898.57

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Solution

The fourth proportional to 9,254.18, 12,780.09 and 5,898.57 is: 8,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.18 : 12,780.09 = 5,898.57 : x
  2. Step 2: Convert to fraction form
    9,254.18/12,780.09 = 5,898.57/x
  3. Step 3: Cross multiply
    9,254.18x = 12,780.09 × 5,898.57
  4. Step 4: Simplify right side
    9,254.18x = 75,384,255.47
  5. Step 5: Solve for x
    x = 75,384,255.47/9,254.18
  6. Step 6: Final answer
    x = 8,145.97

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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.