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Finding the Fourth Proportional to 10,467.84, 14,449.41 and 6,932.19

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Solution

The fourth proportional to 10,467.84, 14,449.41 and 6,932.19 is: 9,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.84 : 14,449.41 = 6,932.19 : x
  2. Step 2: Convert to fraction form
    10,467.84/14,449.41 = 6,932.19/x
  3. Step 3: Cross multiply
    10,467.84x = 14,449.41 × 6,932.19
  4. Step 4: Simplify right side
    10,467.84x = 100,166,055.51
  5. Step 5: Solve for x
    x = 100,166,055.51/10,467.84
  6. Step 6: Final answer
    x = 9,568.93

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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.