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Finding the Fourth Proportional to 9,857.72, 13,580.33 and 6,868.22

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Solution

The fourth proportional to 9,857.72, 13,580.33 and 6,868.22 is: 9,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.72 : 13,580.33 = 6,868.22 : x
  2. Step 2: Convert to fraction form
    9,857.72/13,580.33 = 6,868.22/x
  3. Step 3: Cross multiply
    9,857.72x = 13,580.33 × 6,868.22
  4. Step 4: Simplify right side
    9,857.72x = 93,272,591.87
  5. Step 5: Solve for x
    x = 93,272,591.87/9,857.72
  6. Step 6: Final answer
    x = 9,461.88

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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.