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Finding the Fourth Proportional to 6,341.16, 9,512.28 and 1,661.15

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Solution

The fourth proportional to 6,341.16, 9,512.28 and 1,661.15 is: 2,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.16 : 9,512.28 = 1,661.15 : x
  2. Step 2: Convert to fraction form
    6,341.16/9,512.28 = 1,661.15/x
  3. Step 3: Cross multiply
    6,341.16x = 9,512.28 × 1,661.15
  4. Step 4: Simplify right side
    6,341.16x = 15,801,323.92
  5. Step 5: Solve for x
    x = 15,801,323.92/6,341.16
  6. Step 6: Final answer
    x = 2,491.87

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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.