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Finding the Fourth Proportional to 9,651.66, 14,399.50 and 8,248.74

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Solution

The fourth proportional to 9,651.66, 14,399.50 and 8,248.74 is: 12,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.66 : 14,399.50 = 8,248.74 : x
  2. Step 2: Convert to fraction form
    9,651.66/14,399.50 = 8,248.74/x
  3. Step 3: Cross multiply
    9,651.66x = 14,399.50 × 8,248.74
  4. Step 4: Simplify right side
    9,651.66x = 118,777,690.39
  5. Step 5: Solve for x
    x = 118,777,690.39/9,651.66
  6. Step 6: Final answer
    x = 12,306.45

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Why These Related Problems?

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