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Finding the Fourth Proportional to 7,064.86, 9,751.27 and 4,082.42

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Solution

The fourth proportional to 7,064.86, 9,751.27 and 4,082.42 is: 5,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.86 : 9,751.27 = 4,082.42 : x
  2. Step 2: Convert to fraction form
    7,064.86/9,751.27 = 4,082.42/x
  3. Step 3: Cross multiply
    7,064.86x = 9,751.27 × 4,082.42
  4. Step 4: Simplify right side
    7,064.86x = 39,808,779.67
  5. Step 5: Solve for x
    x = 39,808,779.67/7,064.86
  6. Step 6: Final answer
    x = 5,634.76

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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.