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Finding the Fourth Proportional to 8,929.31, 12,320.64 and 5,743.17

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Solution

The fourth proportional to 8,929.31, 12,320.64 and 5,743.17 is: 7,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.31 : 12,320.64 = 5,743.17 : x
  2. Step 2: Convert to fraction form
    8,929.31/12,320.64 = 5,743.17/x
  3. Step 3: Cross multiply
    8,929.31x = 12,320.64 × 5,743.17
  4. Step 4: Simplify right side
    8,929.31x = 70,759,530.03
  5. Step 5: Solve for x
    x = 70,759,530.03/8,929.31
  6. Step 6: Final answer
    x = 7,924.42

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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.