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Finding the Fourth Proportional to 9,827.44, 13,561.74 and 5,351.14

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Solution

The fourth proportional to 9,827.44, 13,561.74 and 5,351.14 is: 7,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.44 : 13,561.74 = 5,351.14 : x
  2. Step 2: Convert to fraction form
    9,827.44/13,561.74 = 5,351.14/x
  3. Step 3: Cross multiply
    9,827.44x = 13,561.74 × 5,351.14
  4. Step 4: Simplify right side
    9,827.44x = 72,570,769.38
  5. Step 5: Solve for x
    x = 72,570,769.38/9,827.44
  6. Step 6: Final answer
    x = 7,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.