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Finding the Fourth Proportional to 6,842.90, 9,443.27 and 4,011.95

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Solution

The fourth proportional to 6,842.90, 9,443.27 and 4,011.95 is: 5,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.90 : 9,443.27 = 4,011.95 : x
  2. Step 2: Convert to fraction form
    6,842.90/9,443.27 = 4,011.95/x
  3. Step 3: Cross multiply
    6,842.90x = 9,443.27 × 4,011.95
  4. Step 4: Simplify right side
    6,842.90x = 37,885,907.02
  5. Step 5: Solve for x
    x = 37,885,907.02/6,842.90
  6. Step 6: Final answer
    x = 5,536.53

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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.