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Finding the Fourth Proportional to 11,443.17, 15,800.76 and 9,197.85

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Solution

The fourth proportional to 11,443.17, 15,800.76 and 9,197.85 is: 12,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.17 : 15,800.76 = 9,197.85 : x
  2. Step 2: Convert to fraction form
    11,443.17/15,800.76 = 9,197.85/x
  3. Step 3: Cross multiply
    11,443.17x = 15,800.76 × 9,197.85
  4. Step 4: Simplify right side
    11,443.17x = 145,333,020.37
  5. Step 5: Solve for x
    x = 145,333,020.37/11,443.17
  6. Step 6: Final answer
    x = 12,700.42

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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.