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Finding the Fourth Proportional to 9,189.20, 13,754.54 and 7,319.32

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Solution

The fourth proportional to 9,189.20, 13,754.54 and 7,319.32 is: 10,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.20 : 13,754.54 = 7,319.32 : x
  2. Step 2: Convert to fraction form
    9,189.20/13,754.54 = 7,319.32/x
  3. Step 3: Cross multiply
    9,189.20x = 13,754.54 × 7,319.32
  4. Step 4: Simplify right side
    9,189.20x = 100,673,863.62
  5. Step 5: Solve for x
    x = 100,673,863.62/9,189.20
  6. Step 6: Final answer
    x = 10,955.67

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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.