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Finding the Fourth Proportional to 6,320.92, 9,480.54 and 1,878.49

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Solution

The fourth proportional to 6,320.92, 9,480.54 and 1,878.49 is: 2,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.92 : 9,480.54 = 1,878.49 : x
  2. Step 2: Convert to fraction form
    6,320.92/9,480.54 = 1,878.49/x
  3. Step 3: Cross multiply
    6,320.92x = 9,480.54 × 1,878.49
  4. Step 4: Simplify right side
    6,320.92x = 17,809,052.18
  5. Step 5: Solve for x
    x = 17,809,052.18/6,320.92
  6. Step 6: Final answer
    x = 2,817.48

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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.