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Finding the Fourth Proportional to 7,085.64, 9,778.18 and 3,941.80

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Solution

The fourth proportional to 7,085.64, 9,778.18 and 3,941.80 is: 5,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.64 : 9,778.18 = 3,941.80 : x
  2. Step 2: Convert to fraction form
    7,085.64/9,778.18 = 3,941.80/x
  3. Step 3: Cross multiply
    7,085.64x = 9,778.18 × 3,941.80
  4. Step 4: Simplify right side
    7,085.64x = 38,543,629.92
  5. Step 5: Solve for x
    x = 38,543,629.92/7,085.64
  6. Step 6: Final answer
    x = 5,439.68

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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.