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Finding the Fourth Proportional to 9,107.59, 13,661.39 and 2,533.78

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Solution

The fourth proportional to 9,107.59, 13,661.39 and 2,533.78 is: 3,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.59 : 13,661.39 = 2,533.78 : x
  2. Step 2: Convert to fraction form
    9,107.59/13,661.39 = 2,533.78/x
  3. Step 3: Cross multiply
    9,107.59x = 13,661.39 × 2,533.78
  4. Step 4: Simplify right side
    9,107.59x = 34,614,956.75
  5. Step 5: Solve for x
    x = 34,614,956.75/9,107.59
  6. Step 6: Final answer
    x = 3,800.67

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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.