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Finding the Fourth Proportional to 9,800.38, 14,667.72 and 8,045.29

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Solution

The fourth proportional to 9,800.38, 14,667.72 and 8,045.29 is: 12,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.38 : 14,667.72 = 8,045.29 : x
  2. Step 2: Convert to fraction form
    9,800.38/14,667.72 = 8,045.29/x
  3. Step 3: Cross multiply
    9,800.38x = 14,667.72 × 8,045.29
  4. Step 4: Simplify right side
    9,800.38x = 118,006,061.04
  5. Step 5: Solve for x
    x = 118,006,061.04/9,800.38
  6. Step 6: Final answer
    x = 12,040.97

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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.