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Finding the Fourth Proportional to 9,799.87, 13,516.36 and 6,780.02

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Solution

The fourth proportional to 9,799.87, 13,516.36 and 6,780.02 is: 9,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.87 : 13,516.36 = 6,780.02 : x
  2. Step 2: Convert to fraction form
    9,799.87/13,516.36 = 6,780.02/x
  3. Step 3: Cross multiply
    9,799.87x = 13,516.36 × 6,780.02
  4. Step 4: Simplify right side
    9,799.87x = 91,641,123.55
  5. Step 5: Solve for x
    x = 91,641,123.55/9,799.87
  6. Step 6: Final answer
    x = 9,351.26

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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.