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Finding the Fourth Proportional to 6,132.80, 9,206.40 and 6,089.60

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Solution

The fourth proportional to 6,132.80, 9,206.40 and 6,089.60 is: 9,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.80 : 9,206.40 = 6,089.60 : x
  2. Step 2: Convert to fraction form
    6,132.80/9,206.40 = 6,089.60/x
  3. Step 3: Cross multiply
    6,132.80x = 9,206.40 × 6,089.60
  4. Step 4: Simplify right side
    6,132.80x = 56,063,293.44
  5. Step 5: Solve for x
    x = 56,063,293.44/6,132.80
  6. Step 6: Final answer
    x = 9,141.55

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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.