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Finding the Fourth Proportional to 7,084.26, 9,778.32 and 4,733.24

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Solution

The fourth proportional to 7,084.26, 9,778.32 and 4,733.24 is: 6,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.26 : 9,778.32 = 4,733.24 : x
  2. Step 2: Convert to fraction form
    7,084.26/9,778.32 = 4,733.24/x
  3. Step 3: Cross multiply
    7,084.26x = 9,778.32 × 4,733.24
  4. Step 4: Simplify right side
    7,084.26x = 46,283,086.47
  5. Step 5: Solve for x
    x = 46,283,086.47/7,084.26
  6. Step 6: Final answer
    x = 6,533.23

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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.