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Finding the Fourth Proportional to 9,652.02, 13,319.17 and 5,402.37

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Solution

The fourth proportional to 9,652.02, 13,319.17 and 5,402.37 is: 7,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.02 : 13,319.17 = 5,402.37 : x
  2. Step 2: Convert to fraction form
    9,652.02/13,319.17 = 5,402.37/x
  3. Step 3: Cross multiply
    9,652.02x = 13,319.17 × 5,402.37
  4. Step 4: Simplify right side
    9,652.02x = 71,954,990.83
  5. Step 5: Solve for x
    x = 71,954,990.83/9,652.02
  6. Step 6: Final answer
    x = 7,454.92

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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.