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Finding the Fourth Proportional to 7,076.43, 9,766.31 and 4,565.84

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Solution

The fourth proportional to 7,076.43, 9,766.31 and 4,565.84 is: 6,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.43 : 9,766.31 = 4,565.84 : x
  2. Step 2: Convert to fraction form
    7,076.43/9,766.31 = 4,565.84/x
  3. Step 3: Cross multiply
    7,076.43x = 9,766.31 × 4,565.84
  4. Step 4: Simplify right side
    7,076.43x = 44,591,337.19
  5. Step 5: Solve for x
    x = 44,591,337.19/7,076.43
  6. Step 6: Final answer
    x = 6,301.39

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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.