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Finding the Fourth Proportional to 9,879.91, 14,749.43 and 9,533.84

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Solution

The fourth proportional to 9,879.91, 14,749.43 and 9,533.84 is: 14,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.91 : 14,749.43 = 9,533.84 : x
  2. Step 2: Convert to fraction form
    9,879.91/14,749.43 = 9,533.84/x
  3. Step 3: Cross multiply
    9,879.91x = 14,749.43 × 9,533.84
  4. Step 4: Simplify right side
    9,879.91x = 140,618,664.74
  5. Step 5: Solve for x
    x = 140,618,664.74/9,879.91
  6. Step 6: Final answer
    x = 14,232.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.