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Finding the Fourth Proportional to 9,527.97, 13,150.19 and 5,551.41

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Solution

The fourth proportional to 9,527.97, 13,150.19 and 5,551.41 is: 7,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.97 : 13,150.19 = 5,551.41 : x
  2. Step 2: Convert to fraction form
    9,527.97/13,150.19 = 5,551.41/x
  3. Step 3: Cross multiply
    9,527.97x = 13,150.19 × 5,551.41
  4. Step 4: Simplify right side
    9,527.97x = 73,002,068.51
  5. Step 5: Solve for x
    x = 73,002,068.51/9,527.97
  6. Step 6: Final answer
    x = 7,661.87

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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.