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Finding the Fourth Proportional to 6,465.44, 9,695.40 and 2,462.14

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Solution

The fourth proportional to 6,465.44, 9,695.40 and 2,462.14 is: 3,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.44 : 9,695.40 = 2,462.14 : x
  2. Step 2: Convert to fraction form
    6,465.44/9,695.40 = 2,462.14/x
  3. Step 3: Cross multiply
    6,465.44x = 9,695.40 × 2,462.14
  4. Step 4: Simplify right side
    6,465.44x = 23,871,432.16
  5. Step 5: Solve for x
    x = 23,871,432.16/6,465.44
  6. Step 6: Final answer
    x = 3,692.16

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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.