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Finding the Fourth Proportional to 9,130.30, 12,600.41 and 5,149.96

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Solution

The fourth proportional to 9,130.30, 12,600.41 and 5,149.96 is: 7,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.30 : 12,600.41 = 5,149.96 : x
  2. Step 2: Convert to fraction form
    9,130.30/12,600.41 = 5,149.96/x
  3. Step 3: Cross multiply
    9,130.30x = 12,600.41 × 5,149.96
  4. Step 4: Simplify right side
    9,130.30x = 64,891,550.23
  5. Step 5: Solve for x
    x = 64,891,550.23/9,130.30
  6. Step 6: Final answer
    x = 7,107.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.