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Finding the Fourth Proportional to 6,532.74, 9,013.01 and 3,699.83

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Solution

The fourth proportional to 6,532.74, 9,013.01 and 3,699.83 is: 5,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.74 : 9,013.01 = 3,699.83 : x
  2. Step 2: Convert to fraction form
    6,532.74/9,013.01 = 3,699.83/x
  3. Step 3: Cross multiply
    6,532.74x = 9,013.01 × 3,699.83
  4. Step 4: Simplify right side
    6,532.74x = 33,346,541.22
  5. Step 5: Solve for x
    x = 33,346,541.22/6,532.74
  6. Step 6: Final answer
    x = 5,104.53

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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.