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Finding the Fourth Proportional to 9,253.48, 12,774 and 5,900.86

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Solution

The fourth proportional to 9,253.48, 12,774 and 5,900.86 is: 8,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.48 : 12,774 = 5,900.86 : x
  2. Step 2: Convert to fraction form
    9,253.48/12,774 = 5,900.86/x
  3. Step 3: Cross multiply
    9,253.48x = 12,774 × 5,900.86
  4. Step 4: Simplify right side
    9,253.48x = 75,377,585.64
  5. Step 5: Solve for x
    x = 75,377,585.64/9,253.48
  6. Step 6: Final answer
    x = 8,145.86

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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.