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Finding the Fourth Proportional to 6,878.24, 9,484.80 and 4,083.20

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Solution

The fourth proportional to 6,878.24, 9,484.80 and 4,083.20 is: 5,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.24 : 9,484.80 = 4,083.20 : x
  2. Step 2: Convert to fraction form
    6,878.24/9,484.80 = 4,083.20/x
  3. Step 3: Cross multiply
    6,878.24x = 9,484.80 × 4,083.20
  4. Step 4: Simplify right side
    6,878.24x = 38,728,335.36
  5. Step 5: Solve for x
    x = 38,728,335.36/6,878.24
  6. Step 6: Final answer
    x = 5,630.56

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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.