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Finding the Fourth Proportional to 9,256.10, 12,775.42 and 5,898.12

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Solution

The fourth proportional to 9,256.10, 12,775.42 and 5,898.12 is: 8,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.10 : 12,775.42 = 5,898.12 : x
  2. Step 2: Convert to fraction form
    9,256.10/12,775.42 = 5,898.12/x
  3. Step 3: Cross multiply
    9,256.10x = 12,775.42 × 5,898.12
  4. Step 4: Simplify right side
    9,256.10x = 75,350,960.21
  5. Step 5: Solve for x
    x = 75,350,960.21/9,256.10
  6. Step 6: Final answer
    x = 8,140.68

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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.