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Finding the Fourth Proportional to 9,557.82, 13,189.62 and 5,308.90

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Solution

The fourth proportional to 9,557.82, 13,189.62 and 5,308.90 is: 7,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.82 : 13,189.62 = 5,308.90 : x
  2. Step 2: Convert to fraction form
    9,557.82/13,189.62 = 5,308.90/x
  3. Step 3: Cross multiply
    9,557.82x = 13,189.62 × 5,308.90
  4. Step 4: Simplify right side
    9,557.82x = 70,022,373.62
  5. Step 5: Solve for x
    x = 70,022,373.62/9,557.82
  6. Step 6: Final answer
    x = 7,326.19

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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.