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Finding the Fourth Proportional to 6,733.70, 9,295 and 5,785.70

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Solution

The fourth proportional to 6,733.70, 9,295 and 5,785.70 is: 7,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.70 : 9,295 = 5,785.70 : x
  2. Step 2: Convert to fraction form
    6,733.70/9,295 = 5,785.70/x
  3. Step 3: Cross multiply
    6,733.70x = 9,295 × 5,785.70
  4. Step 4: Simplify right side
    6,733.70x = 53,778,081.50
  5. Step 5: Solve for x
    x = 53,778,081.50/6,733.70
  6. Step 6: Final answer
    x = 7,986.41

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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.