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Finding the Fourth Proportional to 6,148.60, 9,213.30 and 5,169.40

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Solution

The fourth proportional to 6,148.60, 9,213.30 and 5,169.40 is: 7,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.60 : 9,213.30 = 5,169.40 : x
  2. Step 2: Convert to fraction form
    6,148.60/9,213.30 = 5,169.40/x
  3. Step 3: Cross multiply
    6,148.60x = 9,213.30 × 5,169.40
  4. Step 4: Simplify right side
    6,148.60x = 47,627,233.02
  5. Step 5: Solve for x
    x = 47,627,233.02/6,148.60
  6. Step 6: Final answer
    x = 7,746.03

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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.