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Finding the Fourth Proportional to 6,995.46, 9,666.61 and 5,103.84

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Solution

The fourth proportional to 6,995.46, 9,666.61 and 5,103.84 is: 7,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.46 : 9,666.61 = 5,103.84 : x
  2. Step 2: Convert to fraction form
    6,995.46/9,666.61 = 5,103.84/x
  3. Step 3: Cross multiply
    6,995.46x = 9,666.61 × 5,103.84
  4. Step 4: Simplify right side
    6,995.46x = 49,336,854.27
  5. Step 5: Solve for x
    x = 49,336,854.27/6,995.46
  6. Step 6: Final answer
    x = 7,052.69

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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.