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Finding the Fourth Proportional to 8,947.14, 12,342.78 and 6,296.01

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Solution

The fourth proportional to 8,947.14, 12,342.78 and 6,296.01 is: 8,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.14 : 12,342.78 = 6,296.01 : x
  2. Step 2: Convert to fraction form
    8,947.14/12,342.78 = 6,296.01/x
  3. Step 3: Cross multiply
    8,947.14x = 12,342.78 × 6,296.01
  4. Step 4: Simplify right side
    8,947.14x = 77,710,266.31
  5. Step 5: Solve for x
    x = 77,710,266.31/8,947.14
  6. Step 6: Final answer
    x = 8,685.49

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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.