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Finding the Fourth Proportional to 9,657.17, 13,322.20 and 6,076.57

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Solution

The fourth proportional to 9,657.17, 13,322.20 and 6,076.57 is: 8,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.17 : 13,322.20 = 6,076.57 : x
  2. Step 2: Convert to fraction form
    9,657.17/13,322.20 = 6,076.57/x
  3. Step 3: Cross multiply
    9,657.17x = 13,322.20 × 6,076.57
  4. Step 4: Simplify right side
    9,657.17x = 80,953,251.64
  5. Step 5: Solve for x
    x = 80,953,251.64/9,657.17
  6. Step 6: Final answer
    x = 8,382.71

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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.