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Finding the Fourth Proportional to 9,666.03, 13,363.49 and 7,144.16

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Solution

The fourth proportional to 9,666.03, 13,363.49 and 7,144.16 is: 9,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.03 : 13,363.49 = 7,144.16 : x
  2. Step 2: Convert to fraction form
    9,666.03/13,363.49 = 7,144.16/x
  3. Step 3: Cross multiply
    9,666.03x = 13,363.49 × 7,144.16
  4. Step 4: Simplify right side
    9,666.03x = 95,470,910.72
  5. Step 5: Solve for x
    x = 95,470,910.72/9,666.03
  6. Step 6: Final answer
    x = 9,876.95

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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.