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Finding the Fourth Proportional to 9,789.54, 13,509.11 and 5,313.20

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Solution

The fourth proportional to 9,789.54, 13,509.11 and 5,313.20 is: 7,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.54 : 13,509.11 = 5,313.20 : x
  2. Step 2: Convert to fraction form
    9,789.54/13,509.11 = 5,313.20/x
  3. Step 3: Cross multiply
    9,789.54x = 13,509.11 × 5,313.20
  4. Step 4: Simplify right side
    9,789.54x = 71,776,509.14
  5. Step 5: Solve for x
    x = 71,776,509.14/9,789.54
  6. Step 6: Final answer
    x = 7,331.96

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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.