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Finding the Fourth Proportional to 6,301.42, 8,695.54 and 3,468.24

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Solution

The fourth proportional to 6,301.42, 8,695.54 and 3,468.24 is: 4,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.42 : 8,695.54 = 3,468.24 : x
  2. Step 2: Convert to fraction form
    6,301.42/8,695.54 = 3,468.24/x
  3. Step 3: Cross multiply
    6,301.42x = 8,695.54 × 3,468.24
  4. Step 4: Simplify right side
    6,301.42x = 30,158,219.65
  5. Step 5: Solve for x
    x = 30,158,219.65/6,301.42
  6. Step 6: Final answer
    x = 4,785.94

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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.