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Finding the Fourth Proportional to 6,883.98, 9,500.48 and 4,365.16

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Solution

The fourth proportional to 6,883.98, 9,500.48 and 4,365.16 is: 6,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.98 : 9,500.48 = 4,365.16 : x
  2. Step 2: Convert to fraction form
    6,883.98/9,500.48 = 4,365.16/x
  3. Step 3: Cross multiply
    6,883.98x = 9,500.48 × 4,365.16
  4. Step 4: Simplify right side
    6,883.98x = 41,471,115.28
  5. Step 5: Solve for x
    x = 41,471,115.28/6,883.98
  6. Step 6: Final answer
    x = 6,024.29

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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.