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Finding the Fourth Proportional to 6,841.14, 9,440.81 and 4,010.19

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Solution

The fourth proportional to 6,841.14, 9,440.81 and 4,010.19 is: 5,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.14 : 9,440.81 = 4,010.19 : x
  2. Step 2: Convert to fraction form
    6,841.14/9,440.81 = 4,010.19/x
  3. Step 3: Cross multiply
    6,841.14x = 9,440.81 × 4,010.19
  4. Step 4: Simplify right side
    6,841.14x = 37,859,421.80
  5. Step 5: Solve for x
    x = 37,859,421.80/6,841.14
  6. Step 6: Final answer
    x = 5,534.08

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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.