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Finding the Fourth Proportional to 6,535.47, 9,805.34 and 4,452.36

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Solution

The fourth proportional to 6,535.47, 9,805.34 and 4,452.36 is: 6,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.47 : 9,805.34 = 4,452.36 : x
  2. Step 2: Convert to fraction form
    6,535.47/9,805.34 = 4,452.36/x
  3. Step 3: Cross multiply
    6,535.47x = 9,805.34 × 4,452.36
  4. Step 4: Simplify right side
    6,535.47x = 43,656,903.60
  5. Step 5: Solve for x
    x = 43,656,903.60/6,535.47
  6. Step 6: Final answer
    x = 6,679.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.