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Finding the Fourth Proportional to 9,857.32, 13,608.42 and 7,836.76

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Solution

The fourth proportional to 9,857.32, 13,608.42 and 7,836.76 is: 10,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.32 : 13,608.42 = 7,836.76 : x
  2. Step 2: Convert to fraction form
    9,857.32/13,608.42 = 7,836.76/x
  3. Step 3: Cross multiply
    9,857.32x = 13,608.42 × 7,836.76
  4. Step 4: Simplify right side
    9,857.32x = 106,645,921.52
  5. Step 5: Solve for x
    x = 106,645,921.52/9,857.32
  6. Step 6: Final answer
    x = 10,818.96

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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.