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Finding the Fourth Proportional to 9,572.76, 13,205.88 and 6,387.54

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Solution

The fourth proportional to 9,572.76, 13,205.88 and 6,387.54 is: 8,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.76 : 13,205.88 = 6,387.54 : x
  2. Step 2: Convert to fraction form
    9,572.76/13,205.88 = 6,387.54/x
  3. Step 3: Cross multiply
    9,572.76x = 13,205.88 × 6,387.54
  4. Step 4: Simplify right side
    9,572.76x = 84,353,086.74
  5. Step 5: Solve for x
    x = 84,353,086.74/9,572.76
  6. Step 6: Final answer
    x = 8,811.78

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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.