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Finding the Fourth Proportional to 6,393.04, 9,574.07 and 4,535.31

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Solution

The fourth proportional to 6,393.04, 9,574.07 and 4,535.31 is: 6,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.04 : 9,574.07 = 4,535.31 : x
  2. Step 2: Convert to fraction form
    6,393.04/9,574.07 = 4,535.31/x
  3. Step 3: Cross multiply
    6,393.04x = 9,574.07 × 4,535.31
  4. Step 4: Simplify right side
    6,393.04x = 43,421,375.41
  5. Step 5: Solve for x
    x = 43,421,375.41/6,393.04
  6. Step 6: Final answer
    x = 6,791.98

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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.