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Finding the Fourth Proportional to 6,130.04, 9,195 and 1,747.48

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Solution

The fourth proportional to 6,130.04, 9,195 and 1,747.48 is: 2,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.04 : 9,195 = 1,747.48 : x
  2. Step 2: Convert to fraction form
    6,130.04/9,195 = 1,747.48/x
  3. Step 3: Cross multiply
    6,130.04x = 9,195 × 1,747.48
  4. Step 4: Simplify right side
    6,130.04x = 16,068,078.60
  5. Step 5: Solve for x
    x = 16,068,078.60/6,130.04
  6. Step 6: Final answer
    x = 2,621.20

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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.