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Finding the Fourth Proportional to 9,254.48, 12,775.38 and 5,901.86

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Solution

The fourth proportional to 9,254.48, 12,775.38 and 5,901.86 is: 8,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.48 : 12,775.38 = 5,901.86 : x
  2. Step 2: Convert to fraction form
    9,254.48/12,775.38 = 5,901.86/x
  3. Step 3: Cross multiply
    9,254.48x = 12,775.38 × 5,901.86
  4. Step 4: Simplify right side
    9,254.48x = 75,398,504.21
  5. Step 5: Solve for x
    x = 75,398,504.21/9,254.48
  6. Step 6: Final answer
    x = 8,147.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.