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Finding the Fourth Proportional to 6,532.92, 9,015.66 and 4,142.04

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Solution

The fourth proportional to 6,532.92, 9,015.66 and 4,142.04 is: 5,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.92 : 9,015.66 = 4,142.04 : x
  2. Step 2: Convert to fraction form
    6,532.92/9,015.66 = 4,142.04/x
  3. Step 3: Cross multiply
    6,532.92x = 9,015.66 × 4,142.04
  4. Step 4: Simplify right side
    6,532.92x = 37,343,224.35
  5. Step 5: Solve for x
    x = 37,343,224.35/6,532.92
  6. Step 6: Final answer
    x = 5,716.16

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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.