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Finding the Fourth Proportional to 9,842.13, 13,581.87 and 5,365.98

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Solution

The fourth proportional to 9,842.13, 13,581.87 and 5,365.98 is: 7,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.13 : 13,581.87 = 5,365.98 : x
  2. Step 2: Convert to fraction form
    9,842.13/13,581.87 = 5,365.98/x
  3. Step 3: Cross multiply
    9,842.13x = 13,581.87 × 5,365.98
  4. Step 4: Simplify right side
    9,842.13x = 72,880,042.78
  5. Step 5: Solve for x
    x = 72,880,042.78/9,842.13
  6. Step 6: Final answer
    x = 7,404.91

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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.