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Finding the Fourth Proportional to 6,453.51, 9,673.34 and 3,332.68

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Solution

The fourth proportional to 6,453.51, 9,673.34 and 3,332.68 is: 4,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.51 : 9,673.34 = 3,332.68 : x
  2. Step 2: Convert to fraction form
    6,453.51/9,673.34 = 3,332.68/x
  3. Step 3: Cross multiply
    6,453.51x = 9,673.34 × 3,332.68
  4. Step 4: Simplify right side
    6,453.51x = 32,238,124.65
  5. Step 5: Solve for x
    x = 32,238,124.65/6,453.51
  6. Step 6: Final answer
    x = 4,995.44

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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.