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Finding the Fourth Proportional to 7,084.40, 9,778.68 and 4,845.47

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Solution

The fourth proportional to 7,084.40, 9,778.68 and 4,845.47 is: 6,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.40 : 9,778.68 = 4,845.47 : x
  2. Step 2: Convert to fraction form
    7,084.40/9,778.68 = 4,845.47/x
  3. Step 3: Cross multiply
    7,084.40x = 9,778.68 × 4,845.47
  4. Step 4: Simplify right side
    7,084.40x = 47,382,251.69
  5. Step 5: Solve for x
    x = 47,382,251.69/7,084.40
  6. Step 6: Final answer
    x = 6,688.26

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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.