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Finding the Fourth Proportional to 6,101.80, 9,152.70 and 5,445.70

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Solution

The fourth proportional to 6,101.80, 9,152.70 and 5,445.70 is: 8,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.80 : 9,152.70 = 5,445.70 : x
  2. Step 2: Convert to fraction form
    6,101.80/9,152.70 = 5,445.70/x
  3. Step 3: Cross multiply
    6,101.80x = 9,152.70 × 5,445.70
  4. Step 4: Simplify right side
    6,101.80x = 49,842,858.39
  5. Step 5: Solve for x
    x = 49,842,858.39/6,101.80
  6. Step 6: Final answer
    x = 8,168.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.