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Finding the Fourth Proportional to 6,130.80, 9,195.12 and 2,235.24

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Solution

The fourth proportional to 6,130.80, 9,195.12 and 2,235.24 is: 3,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.80 : 9,195.12 = 2,235.24 : x
  2. Step 2: Convert to fraction form
    6,130.80/9,195.12 = 2,235.24/x
  3. Step 3: Cross multiply
    6,130.80x = 9,195.12 × 2,235.24
  4. Step 4: Simplify right side
    6,130.80x = 20,553,300.03
  5. Step 5: Solve for x
    x = 20,553,300.03/6,130.80
  6. Step 6: Final answer
    x = 3,352.47

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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.