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Finding the Fourth Proportional to 9,965.34, 14,910.44 and 5,947.88

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Solution

The fourth proportional to 9,965.34, 14,910.44 and 5,947.88 is: 8,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.34 : 14,910.44 = 5,947.88 : x
  2. Step 2: Convert to fraction form
    9,965.34/14,910.44 = 5,947.88/x
  3. Step 3: Cross multiply
    9,965.34x = 14,910.44 × 5,947.88
  4. Step 4: Simplify right side
    9,965.34x = 88,685,507.87
  5. Step 5: Solve for x
    x = 88,685,507.87/9,965.34
  6. Step 6: Final answer
    x = 8,899.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.