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Finding the Fourth Proportional to 9,723.91, 14,510 and 8,676.72

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Solution

The fourth proportional to 9,723.91, 14,510 and 8,676.72 is: 12,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.91 : 14,510 = 8,676.72 : x
  2. Step 2: Convert to fraction form
    9,723.91/14,510 = 8,676.72/x
  3. Step 3: Cross multiply
    9,723.91x = 14,510 × 8,676.72
  4. Step 4: Simplify right side
    9,723.91x = 125,899,207.20
  5. Step 5: Solve for x
    x = 125,899,207.20/9,723.91
  6. Step 6: Final answer
    x = 12,947.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.