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Finding the Fourth Proportional to 9,540.79, 14,234.64 and 8,488.29

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Solution

The fourth proportional to 9,540.79, 14,234.64 and 8,488.29 is: 12,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.79 : 14,234.64 = 8,488.29 : x
  2. Step 2: Convert to fraction form
    9,540.79/14,234.64 = 8,488.29/x
  3. Step 3: Cross multiply
    9,540.79x = 14,234.64 × 8,488.29
  4. Step 4: Simplify right side
    9,540.79x = 120,827,773.91
  5. Step 5: Solve for x
    x = 120,827,773.91/9,540.79
  6. Step 6: Final answer
    x = 12,664.34

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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.