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Finding the Fourth Proportional to 6,532.34, 9,015.77 and 3,699.87

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Solution

The fourth proportional to 6,532.34, 9,015.77 and 3,699.87 is: 5,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.34 : 9,015.77 = 3,699.87 : x
  2. Step 2: Convert to fraction form
    6,532.34/9,015.77 = 3,699.87/x
  3. Step 3: Cross multiply
    6,532.34x = 9,015.77 × 3,699.87
  4. Step 4: Simplify right side
    6,532.34x = 33,357,131.87
  5. Step 5: Solve for x
    x = 33,357,131.87/6,532.34
  6. Step 6: Final answer
    x = 5,106.46

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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.