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Finding the Fourth Proportional to 6,275.82, 8,666.82 and 4,947.42

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Solution

The fourth proportional to 6,275.82, 8,666.82 and 4,947.42 is: 6,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.82 : 8,666.82 = 4,947.42 : x
  2. Step 2: Convert to fraction form
    6,275.82/8,666.82 = 4,947.42/x
  3. Step 3: Cross multiply
    6,275.82x = 8,666.82 × 4,947.42
  4. Step 4: Simplify right side
    6,275.82x = 42,878,398.60
  5. Step 5: Solve for x
    x = 42,878,398.60/6,275.82
  6. Step 6: Final answer
    x = 6,832.32

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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.