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Finding the Fourth Proportional to 9,827.33, 13,561.80 and 5,351.10

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Solution

The fourth proportional to 9,827.33, 13,561.80 and 5,351.10 is: 7,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.33 : 13,561.80 = 5,351.10 : x
  2. Step 2: Convert to fraction form
    9,827.33/13,561.80 = 5,351.10/x
  3. Step 3: Cross multiply
    9,827.33x = 13,561.80 × 5,351.10
  4. Step 4: Simplify right side
    9,827.33x = 72,570,477.06
  5. Step 5: Solve for x
    x = 72,570,477.06/9,827.33
  6. Step 6: Final answer
    x = 7,384.56

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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.