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Finding the Fourth Proportional to 6,364.05, 9,533.30 and 3,243.93

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Solution

The fourth proportional to 6,364.05, 9,533.30 and 3,243.93 is: 4,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.05 : 9,533.30 = 3,243.93 : x
  2. Step 2: Convert to fraction form
    6,364.05/9,533.30 = 3,243.93/x
  3. Step 3: Cross multiply
    6,364.05x = 9,533.30 × 3,243.93
  4. Step 4: Simplify right side
    6,364.05x = 30,925,341.65
  5. Step 5: Solve for x
    x = 30,925,341.65/6,364.05
  6. Step 6: Final answer
    x = 4,859.38

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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.