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Finding the Fourth Proportional to 7,099.11, 9,787.23 and 4,971.78

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Solution

The fourth proportional to 7,099.11, 9,787.23 and 4,971.78 is: 6,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.11 : 9,787.23 = 4,971.78 : x
  2. Step 2: Convert to fraction form
    7,099.11/9,787.23 = 4,971.78/x
  3. Step 3: Cross multiply
    7,099.11x = 9,787.23 × 4,971.78
  4. Step 4: Simplify right side
    7,099.11x = 48,659,954.37
  5. Step 5: Solve for x
    x = 48,659,954.37/7,099.11
  6. Step 6: Final answer
    x = 6,854.37

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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.