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Finding the Fourth Proportional to 9,476.46, 14,231.07 and 8,734.77

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Solution

The fourth proportional to 9,476.46, 14,231.07 and 8,734.77 is: 13,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.46 : 14,231.07 = 8,734.77 : x
  2. Step 2: Convert to fraction form
    9,476.46/14,231.07 = 8,734.77/x
  3. Step 3: Cross multiply
    9,476.46x = 14,231.07 × 8,734.77
  4. Step 4: Simplify right side
    9,476.46x = 124,305,123.30
  5. Step 5: Solve for x
    x = 124,305,123.30/9,476.46
  6. Step 6: Final answer
    x = 13,117.25

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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.