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Finding the Fourth Proportional to 6,084.96, 8,391.36 and 4,417.44

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Solution

The fourth proportional to 6,084.96, 8,391.36 and 4,417.44 is: 6,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.96 : 8,391.36 = 4,417.44 : x
  2. Step 2: Convert to fraction form
    6,084.96/8,391.36 = 4,417.44/x
  3. Step 3: Cross multiply
    6,084.96x = 8,391.36 × 4,417.44
  4. Step 4: Simplify right side
    6,084.96x = 37,068,329.32
  5. Step 5: Solve for x
    x = 37,068,329.32/6,084.96
  6. Step 6: Final answer
    x = 6,091.80

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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.