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Finding the Fourth Proportional to 10,947.64, 15,073.02 and 9,949.84

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Solution

The fourth proportional to 10,947.64, 15,073.02 and 9,949.84 is: 13,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.64 : 15,073.02 = 9,949.84 : x
  2. Step 2: Convert to fraction form
    10,947.64/15,073.02 = 9,949.84/x
  3. Step 3: Cross multiply
    10,947.64x = 15,073.02 × 9,949.84
  4. Step 4: Simplify right side
    10,947.64x = 149,974,137.32
  5. Step 5: Solve for x
    x = 149,974,137.32/10,947.64
  6. Step 6: Final answer
    x = 13,699.22

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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.