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Finding the Fourth Proportional to 7,189.20, 9,918.36 and 5,305.32

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Solution

The fourth proportional to 7,189.20, 9,918.36 and 5,305.32 is: 7,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.20 : 9,918.36 = 5,305.32 : x
  2. Step 2: Convert to fraction form
    7,189.20/9,918.36 = 5,305.32/x
  3. Step 3: Cross multiply
    7,189.20x = 9,918.36 × 5,305.32
  4. Step 4: Simplify right side
    7,189.20x = 52,620,073.68
  5. Step 5: Solve for x
    x = 52,620,073.68/7,189.20
  6. Step 6: Final answer
    x = 7,319.32

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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.