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Finding the Fourth Proportional to 6,009.48, 9,024.21 and 3,715.56

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Solution

The fourth proportional to 6,009.48, 9,024.21 and 3,715.56 is: 5,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.48 : 9,024.21 = 3,715.56 : x
  2. Step 2: Convert to fraction form
    6,009.48/9,024.21 = 3,715.56/x
  3. Step 3: Cross multiply
    6,009.48x = 9,024.21 × 3,715.56
  4. Step 4: Simplify right side
    6,009.48x = 33,529,993.71
  5. Step 5: Solve for x
    x = 33,529,993.71/6,009.48
  6. Step 6: Final answer
    x = 5,579.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.