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Finding the Fourth Proportional to 9,947.64, 14,899.86 and 9,671.16

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Solution

The fourth proportional to 9,947.64, 14,899.86 and 9,671.16 is: 14,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.64 : 14,899.86 = 9,671.16 : x
  2. Step 2: Convert to fraction form
    9,947.64/14,899.86 = 9,671.16/x
  3. Step 3: Cross multiply
    9,947.64x = 14,899.86 × 9,671.16
  4. Step 4: Simplify right side
    9,947.64x = 144,098,930.04
  5. Step 5: Solve for x
    x = 144,098,930.04/9,947.64
  6. Step 6: Final answer
    x = 14,485.74

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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.