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Finding the Fourth Proportional to 6,658.42, 9,189.01 and 4,006.69

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Solution

The fourth proportional to 6,658.42, 9,189.01 and 4,006.69 is: 5,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.42 : 9,189.01 = 4,006.69 : x
  2. Step 2: Convert to fraction form
    6,658.42/9,189.01 = 4,006.69/x
  3. Step 3: Cross multiply
    6,658.42x = 9,189.01 × 4,006.69
  4. Step 4: Simplify right side
    6,658.42x = 36,817,514.48
  5. Step 5: Solve for x
    x = 36,817,514.48/6,658.42
  6. Step 6: Final answer
    x = 5,529.47

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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.