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Finding the Fourth Proportional to 9,574.72, 14,362.07 and 5,219.84

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Solution

The fourth proportional to 9,574.72, 14,362.07 and 5,219.84 is: 7,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.72 : 14,362.07 = 5,219.84 : x
  2. Step 2: Convert to fraction form
    9,574.72/14,362.07 = 5,219.84/x
  3. Step 3: Cross multiply
    9,574.72x = 14,362.07 × 5,219.84
  4. Step 4: Simplify right side
    9,574.72x = 74,967,717.27
  5. Step 5: Solve for x
    x = 74,967,717.27/9,574.72
  6. Step 6: Final answer
    x = 7,829.76

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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.