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Finding the Fourth Proportional to 8,922.42, 12,313.38 and 5,385.57

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Solution

The fourth proportional to 8,922.42, 12,313.38 and 5,385.57 is: 7,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.42 : 12,313.38 = 5,385.57 : x
  2. Step 2: Convert to fraction form
    8,922.42/12,313.38 = 5,385.57/x
  3. Step 3: Cross multiply
    8,922.42x = 12,313.38 × 5,385.57
  4. Step 4: Simplify right side
    8,922.42x = 66,314,569.93
  5. Step 5: Solve for x
    x = 66,314,569.93/8,922.42
  6. Step 6: Final answer
    x = 7,432.35

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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.