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Finding the Fourth Proportional to 8,947.78, 12,347.31 and 4,968.58

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Solution

The fourth proportional to 8,947.78, 12,347.31 and 4,968.58 is: 6,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.78 : 12,347.31 = 4,968.58 : x
  2. Step 2: Convert to fraction form
    8,947.78/12,347.31 = 4,968.58/x
  3. Step 3: Cross multiply
    8,947.78x = 12,347.31 × 4,968.58
  4. Step 4: Simplify right side
    8,947.78x = 61,348,597.52
  5. Step 5: Solve for x
    x = 61,348,597.52/8,947.78
  6. Step 6: Final answer
    x = 6,856.29

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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.