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Finding the Fourth Proportional to 10,267.94, 14,175.86 and 6,737.31

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Solution

The fourth proportional to 10,267.94, 14,175.86 and 6,737.31 is: 9,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.94 : 14,175.86 = 6,737.31 : x
  2. Step 2: Convert to fraction form
    10,267.94/14,175.86 = 6,737.31/x
  3. Step 3: Cross multiply
    10,267.94x = 14,175.86 × 6,737.31
  4. Step 4: Simplify right side
    10,267.94x = 95,507,129.65
  5. Step 5: Solve for x
    x = 95,507,129.65/10,267.94
  6. Step 6: Final answer
    x = 9,301.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.