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Finding the Fourth Proportional to 6,857.30, 9,462.34 and 5,065.72

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Solution

The fourth proportional to 6,857.30, 9,462.34 and 5,065.72 is: 6,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.30 : 9,462.34 = 5,065.72 : x
  2. Step 2: Convert to fraction form
    6,857.30/9,462.34 = 5,065.72/x
  3. Step 3: Cross multiply
    6,857.30x = 9,462.34 × 5,065.72
  4. Step 4: Simplify right side
    6,857.30x = 47,933,564.98
  5. Step 5: Solve for x
    x = 47,933,564.98/6,857.30
  6. Step 6: Final answer
    x = 6,990.15

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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.