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Finding the Fourth Proportional to 7,106.31, 9,793.40 and 5,113.40

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Solution

The fourth proportional to 7,106.31, 9,793.40 and 5,113.40 is: 7,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.31 : 9,793.40 = 5,113.40 : x
  2. Step 2: Convert to fraction form
    7,106.31/9,793.40 = 5,113.40/x
  3. Step 3: Cross multiply
    7,106.31x = 9,793.40 × 5,113.40
  4. Step 4: Simplify right side
    7,106.31x = 50,077,497.03
  5. Step 5: Solve for x
    x = 50,077,497.03/7,106.31
  6. Step 6: Final answer
    x = 7,046.91

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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.