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Finding the Fourth Proportional to 9,043.82, 13,563.90 and 5,711.07

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Solution

The fourth proportional to 9,043.82, 13,563.90 and 5,711.07 is: 8,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.82 : 13,563.90 = 5,711.07 : x
  2. Step 2: Convert to fraction form
    9,043.82/13,563.90 = 5,711.07/x
  3. Step 3: Cross multiply
    9,043.82x = 13,563.90 × 5,711.07
  4. Step 4: Simplify right side
    9,043.82x = 77,464,382.37
  5. Step 5: Solve for x
    x = 77,464,382.37/9,043.82
  6. Step 6: Final answer
    x = 8,565.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.