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Finding the Fourth Proportional to 10,214.52, 14,097.05 and 6,864.30

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Solution

The fourth proportional to 10,214.52, 14,097.05 and 6,864.30 is: 9,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.52 : 14,097.05 = 6,864.30 : x
  2. Step 2: Convert to fraction form
    10,214.52/14,097.05 = 6,864.30/x
  3. Step 3: Cross multiply
    10,214.52x = 14,097.05 × 6,864.30
  4. Step 4: Simplify right side
    10,214.52x = 96,766,380.32
  5. Step 5: Solve for x
    x = 96,766,380.32/10,214.52
  6. Step 6: Final answer
    x = 9,473.41

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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.