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Finding the Fourth Proportional to 9,752.67, 14,634.27 and 6,467.31

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Solution

The fourth proportional to 9,752.67, 14,634.27 and 6,467.31 is: 9,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.67 : 14,634.27 = 6,467.31 : x
  2. Step 2: Convert to fraction form
    9,752.67/14,634.27 = 6,467.31/x
  3. Step 3: Cross multiply
    9,752.67x = 14,634.27 × 6,467.31
  4. Step 4: Simplify right side
    9,752.67x = 94,644,360.71
  5. Step 5: Solve for x
    x = 94,644,360.71/9,752.67
  6. Step 6: Final answer
    x = 9,704.46

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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.