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Finding the Fourth Proportional to 9,729.28, 13,423.93 and 5,951.07

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Solution

The fourth proportional to 9,729.28, 13,423.93 and 5,951.07 is: 8,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.28 : 13,423.93 = 5,951.07 : x
  2. Step 2: Convert to fraction form
    9,729.28/13,423.93 = 5,951.07/x
  3. Step 3: Cross multiply
    9,729.28x = 13,423.93 × 5,951.07
  4. Step 4: Simplify right side
    9,729.28x = 79,886,728.42
  5. Step 5: Solve for x
    x = 79,886,728.42/9,729.28
  6. Step 6: Final answer
    x = 8,210.96

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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.