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Finding the Fourth Proportional to 6,462.16, 9,697.54 and 2,358.16

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Solution

The fourth proportional to 6,462.16, 9,697.54 and 2,358.16 is: 3,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.16 : 9,697.54 = 2,358.16 : x
  2. Step 2: Convert to fraction form
    6,462.16/9,697.54 = 2,358.16/x
  3. Step 3: Cross multiply
    6,462.16x = 9,697.54 × 2,358.16
  4. Step 4: Simplify right side
    6,462.16x = 22,868,350.93
  5. Step 5: Solve for x
    x = 22,868,350.93/6,462.16
  6. Step 6: Final answer
    x = 3,538.81

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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.