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Finding the Fourth Proportional to 10,094.67, 13,928.31 and 6,114.92

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Solution

The fourth proportional to 10,094.67, 13,928.31 and 6,114.92 is: 8,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.67 : 13,928.31 = 6,114.92 : x
  2. Step 2: Convert to fraction form
    10,094.67/13,928.31 = 6,114.92/x
  3. Step 3: Cross multiply
    10,094.67x = 13,928.31 × 6,114.92
  4. Step 4: Simplify right side
    10,094.67x = 85,170,431.74
  5. Step 5: Solve for x
    x = 85,170,431.74/10,094.67
  6. Step 6: Final answer
    x = 8,437.17

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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.