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Finding the Fourth Proportional to 6,301.42, 8,695.97 and 3,506.92

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Solution

The fourth proportional to 6,301.42, 8,695.97 and 3,506.92 is: 4,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.42 : 8,695.97 = 3,506.92 : x
  2. Step 2: Convert to fraction form
    6,301.42/8,695.97 = 3,506.92/x
  3. Step 3: Cross multiply
    6,301.42x = 8,695.97 × 3,506.92
  4. Step 4: Simplify right side
    6,301.42x = 30,496,071.11
  5. Step 5: Solve for x
    x = 30,496,071.11/6,301.42
  6. Step 6: Final answer
    x = 4,839.56

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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.