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Finding the Fourth Proportional to 10,434.79, 14,391.63 and 9,173.17

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Solution

The fourth proportional to 10,434.79, 14,391.63 and 9,173.17 is: 12,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.79 : 14,391.63 = 9,173.17 : x
  2. Step 2: Convert to fraction form
    10,434.79/14,391.63 = 9,173.17/x
  3. Step 3: Cross multiply
    10,434.79x = 14,391.63 × 9,173.17
  4. Step 4: Simplify right side
    10,434.79x = 132,016,868.57
  5. Step 5: Solve for x
    x = 132,016,868.57/10,434.79
  6. Step 6: Final answer
    x = 12,651.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.