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Finding the Fourth Proportional to 6,532.86, 9,015.33 and 3,548.68

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Solution

The fourth proportional to 6,532.86, 9,015.33 and 3,548.68 is: 4,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.86 : 9,015.33 = 3,548.68 : x
  2. Step 2: Convert to fraction form
    6,532.86/9,015.33 = 3,548.68/x
  3. Step 3: Cross multiply
    6,532.86x = 9,015.33 × 3,548.68
  4. Step 4: Simplify right side
    6,532.86x = 31,992,540.86
  5. Step 5: Solve for x
    x = 31,992,540.86/6,532.86
  6. Step 6: Final answer
    x = 4,897.18

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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.