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Finding the Fourth Proportional to 6,073.25, 9,095.29 and 3,470.72

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Solution

The fourth proportional to 6,073.25, 9,095.29 and 3,470.72 is: 5,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.25 : 9,095.29 = 3,470.72 : x
  2. Step 2: Convert to fraction form
    6,073.25/9,095.29 = 3,470.72/x
  3. Step 3: Cross multiply
    6,073.25x = 9,095.29 × 3,470.72
  4. Step 4: Simplify right side
    6,073.25x = 31,567,197.88
  5. Step 5: Solve for x
    x = 31,567,197.88/6,073.25
  6. Step 6: Final answer
    x = 5,197.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.