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Finding the Fourth Proportional to 6,268.86, 9,402.57 and 1,652.22

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Solution

The fourth proportional to 6,268.86, 9,402.57 and 1,652.22 is: 2,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.86 : 9,402.57 = 1,652.22 : x
  2. Step 2: Convert to fraction form
    6,268.86/9,402.57 = 1,652.22/x
  3. Step 3: Cross multiply
    6,268.86x = 9,402.57 × 1,652.22
  4. Step 4: Simplify right side
    6,268.86x = 15,535,114.21
  5. Step 5: Solve for x
    x = 15,535,114.21/6,268.86
  6. Step 6: Final answer
    x = 2,478.14

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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.