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Finding the Fourth Proportional to 9,733.11, 13,437.78 and 7,490.73

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Solution

The fourth proportional to 9,733.11, 13,437.78 and 7,490.73 is: 10,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.11 : 13,437.78 = 7,490.73 : x
  2. Step 2: Convert to fraction form
    9,733.11/13,437.78 = 7,490.73/x
  3. Step 3: Cross multiply
    9,733.11x = 13,437.78 × 7,490.73
  4. Step 4: Simplify right side
    9,733.11x = 100,658,781.78
  5. Step 5: Solve for x
    x = 100,658,781.78/9,733.11
  6. Step 6: Final answer
    x = 10,341.89

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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.