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Finding the Fourth Proportional to 7,011.24, 9,675.46 and 3,867.42

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Solution

The fourth proportional to 7,011.24, 9,675.46 and 3,867.42 is: 5,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.24 : 9,675.46 = 3,867.42 : x
  2. Step 2: Convert to fraction form
    7,011.24/9,675.46 = 3,867.42/x
  3. Step 3: Cross multiply
    7,011.24x = 9,675.46 × 3,867.42
  4. Step 4: Simplify right side
    7,011.24x = 37,419,108.63
  5. Step 5: Solve for x
    x = 37,419,108.63/7,011.24
  6. Step 6: Final answer
    x = 5,337.02

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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.