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Finding the Fourth Proportional to 9,557.87, 13,189.40 and 5,309.20

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Solution

The fourth proportional to 9,557.87, 13,189.40 and 5,309.20 is: 7,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.87 : 13,189.40 = 5,309.20 : x
  2. Step 2: Convert to fraction form
    9,557.87/13,189.40 = 5,309.20/x
  3. Step 3: Cross multiply
    9,557.87x = 13,189.40 × 5,309.20
  4. Step 4: Simplify right side
    9,557.87x = 70,025,162.48
  5. Step 5: Solve for x
    x = 70,025,162.48/9,557.87
  6. Step 6: Final answer
    x = 7,326.44

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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.