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Finding the Fourth Proportional to 9,119.19, 13,678.77 and 7,042.22

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Solution

The fourth proportional to 9,119.19, 13,678.77 and 7,042.22 is: 10,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.19 : 13,678.77 = 7,042.22 : x
  2. Step 2: Convert to fraction form
    9,119.19/13,678.77 = 7,042.22/x
  3. Step 3: Cross multiply
    9,119.19x = 13,678.77 × 7,042.22
  4. Step 4: Simplify right side
    9,119.19x = 96,328,839.28
  5. Step 5: Solve for x
    x = 96,328,839.28/9,119.19
  6. Step 6: Final answer
    x = 10,563.32

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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.