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Finding the Fourth Proportional to 9,119.85, 13,679.78 and 7,042.89

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Solution

The fourth proportional to 9,119.85, 13,679.78 and 7,042.89 is: 10,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.85 : 13,679.78 = 7,042.89 : x
  2. Step 2: Convert to fraction form
    9,119.85/13,679.78 = 7,042.89/x
  3. Step 3: Cross multiply
    9,119.85x = 13,679.78 × 7,042.89
  4. Step 4: Simplify right side
    9,119.85x = 96,345,185.76
  5. Step 5: Solve for x
    x = 96,345,185.76/9,119.85
  6. Step 6: Final answer
    x = 10,564.34

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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.