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Finding the Fourth Proportional to 6,290.80, 9,432.60 and 5,580.16

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Solution

The fourth proportional to 6,290.80, 9,432.60 and 5,580.16 is: 8,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.80 : 9,432.60 = 5,580.16 : x
  2. Step 2: Convert to fraction form
    6,290.80/9,432.60 = 5,580.16/x
  3. Step 3: Cross multiply
    6,290.80x = 9,432.60 × 5,580.16
  4. Step 4: Simplify right side
    6,290.80x = 52,635,417.22
  5. Step 5: Solve for x
    x = 52,635,417.22/6,290.80
  6. Step 6: Final answer
    x = 8,367.05

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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.