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Finding the Fourth Proportional to 6,130.80, 9,196.20 and 5,693.40

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Solution

The fourth proportional to 6,130.80, 9,196.20 and 5,693.40 is: 8,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.80 : 9,196.20 = 5,693.40 : x
  2. Step 2: Convert to fraction form
    6,130.80/9,196.20 = 5,693.40/x
  3. Step 3: Cross multiply
    6,130.80x = 9,196.20 × 5,693.40
  4. Step 4: Simplify right side
    6,130.80x = 52,357,645.08
  5. Step 5: Solve for x
    x = 52,357,645.08/6,130.80
  6. Step 6: Final answer
    x = 8,540.10

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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.