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Finding the Fourth Proportional to 10,094.34, 13,923.28 and 9,257.82

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Solution

The fourth proportional to 10,094.34, 13,923.28 and 9,257.82 is: 12,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.34 : 13,923.28 = 9,257.82 : x
  2. Step 2: Convert to fraction form
    10,094.34/13,923.28 = 9,257.82/x
  3. Step 3: Cross multiply
    10,094.34x = 13,923.28 × 9,257.82
  4. Step 4: Simplify right side
    10,094.34x = 128,899,220.05
  5. Step 5: Solve for x
    x = 128,899,220.05/10,094.34
  6. Step 6: Final answer
    x = 12,769.45

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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.