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Finding the Fourth Proportional to 10,098.68, 13,947.88 and 6,736

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Solution

The fourth proportional to 10,098.68, 13,947.88 and 6,736 is: 9,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.68 : 13,947.88 = 6,736 : x
  2. Step 2: Convert to fraction form
    10,098.68/13,947.88 = 6,736/x
  3. Step 3: Cross multiply
    10,098.68x = 13,947.88 × 6,736
  4. Step 4: Simplify right side
    10,098.68x = 93,952,919.68
  5. Step 5: Solve for x
    x = 93,952,919.68/10,098.68
  6. Step 6: Final answer
    x = 9,303.49

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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.