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Finding the Fourth Proportional to 9,141.87, 13,707.54 and 3,588.75

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Solution

The fourth proportional to 9,141.87, 13,707.54 and 3,588.75 is: 5,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.87 : 13,707.54 = 3,588.75 : x
  2. Step 2: Convert to fraction form
    9,141.87/13,707.54 = 3,588.75/x
  3. Step 3: Cross multiply
    9,141.87x = 13,707.54 × 3,588.75
  4. Step 4: Simplify right side
    9,141.87x = 49,192,934.18
  5. Step 5: Solve for x
    x = 49,192,934.18/9,141.87
  6. Step 6: Final answer
    x = 5,381.06

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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.