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Finding the Fourth Proportional to 6,084.48, 9,124.32 and 3,313.44

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Solution

The fourth proportional to 6,084.48, 9,124.32 and 3,313.44 is: 4,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.48 : 9,124.32 = 3,313.44 : x
  2. Step 2: Convert to fraction form
    6,084.48/9,124.32 = 3,313.44/x
  3. Step 3: Cross multiply
    6,084.48x = 9,124.32 × 3,313.44
  4. Step 4: Simplify right side
    6,084.48x = 30,232,886.86
  5. Step 5: Solve for x
    x = 30,232,886.86/6,084.48
  6. Step 6: Final answer
    x = 4,968.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.