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Finding the Fourth Proportional to 9,789.68, 13,509.74 and 5,313.44

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Solution

The fourth proportional to 9,789.68, 13,509.74 and 5,313.44 is: 7,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.68 : 13,509.74 = 5,313.44 : x
  2. Step 2: Convert to fraction form
    9,789.68/13,509.74 = 5,313.44/x
  3. Step 3: Cross multiply
    9,789.68x = 13,509.74 × 5,313.44
  4. Step 4: Simplify right side
    9,789.68x = 71,783,192.91
  5. Step 5: Solve for x
    x = 71,783,192.91/9,789.68
  6. Step 6: Final answer
    x = 7,332.54

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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.