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Finding the Fourth Proportional to 6,584.01, 9,088.92 and 4,197.26

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Solution

The fourth proportional to 6,584.01, 9,088.92 and 4,197.26 is: 5,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.01 : 9,088.92 = 4,197.26 : x
  2. Step 2: Convert to fraction form
    6,584.01/9,088.92 = 4,197.26/x
  3. Step 3: Cross multiply
    6,584.01x = 9,088.92 × 4,197.26
  4. Step 4: Simplify right side
    6,584.01x = 38,148,493.93
  5. Step 5: Solve for x
    x = 38,148,493.93/6,584.01
  6. Step 6: Final answer
    x = 5,794.12

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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.