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Finding the Fourth Proportional to 6,535.86, 9,019.31 and 3,551.60

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Solution

The fourth proportional to 6,535.86, 9,019.31 and 3,551.60 is: 4,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.86 : 9,019.31 = 3,551.60 : x
  2. Step 2: Convert to fraction form
    6,535.86/9,019.31 = 3,551.60/x
  3. Step 3: Cross multiply
    6,535.86x = 9,019.31 × 3,551.60
  4. Step 4: Simplify right side
    6,535.86x = 32,032,918.54
  5. Step 5: Solve for x
    x = 32,032,918.54/6,535.86
  6. Step 6: Final answer
    x = 4,901.10

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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.