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Finding the Fourth Proportional to 9,199.24, 13,803.09 and 7,116.11

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Solution

The fourth proportional to 9,199.24, 13,803.09 and 7,116.11 is: 10,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.24 : 13,803.09 = 7,116.11 : x
  2. Step 2: Convert to fraction form
    9,199.24/13,803.09 = 7,116.11/x
  3. Step 3: Cross multiply
    9,199.24x = 13,803.09 × 7,116.11
  4. Step 4: Simplify right side
    9,199.24x = 98,224,306.78
  5. Step 5: Solve for x
    x = 98,224,306.78/9,199.24
  6. Step 6: Final answer
    x = 10,677.44

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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.