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Finding the Fourth Proportional to 6,733.85, 9,286.29 and 5,137.71

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Solution

The fourth proportional to 6,733.85, 9,286.29 and 5,137.71 is: 7,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.85 : 9,286.29 = 5,137.71 : x
  2. Step 2: Convert to fraction form
    6,733.85/9,286.29 = 5,137.71/x
  3. Step 3: Cross multiply
    6,733.85x = 9,286.29 × 5,137.71
  4. Step 4: Simplify right side
    6,733.85x = 47,710,265.00
  5. Step 5: Solve for x
    x = 47,710,265.00/6,733.85
  6. Step 6: Final answer
    x = 7,085.14

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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.