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Finding the Fourth Proportional to 6,876.02, 9,496.65 and 4,647.11

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Solution

The fourth proportional to 6,876.02, 9,496.65 and 4,647.11 is: 6,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.02 : 9,496.65 = 4,647.11 : x
  2. Step 2: Convert to fraction form
    6,876.02/9,496.65 = 4,647.11/x
  3. Step 3: Cross multiply
    6,876.02x = 9,496.65 × 4,647.11
  4. Step 4: Simplify right side
    6,876.02x = 44,131,977.18
  5. Step 5: Solve for x
    x = 44,131,977.18/6,876.02
  6. Step 6: Final answer
    x = 6,418.24

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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.