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Finding the Fourth Proportional to 8,932.74, 12,329.76 and 5,396.22

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Solution

The fourth proportional to 8,932.74, 12,329.76 and 5,396.22 is: 7,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.74 : 12,329.76 = 5,396.22 : x
  2. Step 2: Convert to fraction form
    8,932.74/12,329.76 = 5,396.22/x
  3. Step 3: Cross multiply
    8,932.74x = 12,329.76 × 5,396.22
  4. Step 4: Simplify right side
    8,932.74x = 66,534,097.51
  5. Step 5: Solve for x
    x = 66,534,097.51/8,932.74
  6. Step 6: Final answer
    x = 7,448.34

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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.