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Finding the Fourth Proportional to 10,214.83, 14,097.48 and 6,864.62

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Solution

The fourth proportional to 10,214.83, 14,097.48 and 6,864.62 is: 9,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.83 : 14,097.48 = 6,864.62 : x
  2. Step 2: Convert to fraction form
    10,214.83/14,097.48 = 6,864.62/x
  3. Step 3: Cross multiply
    10,214.83x = 14,097.48 × 6,864.62
  4. Step 4: Simplify right side
    10,214.83x = 96,773,772.67
  5. Step 5: Solve for x
    x = 96,773,772.67/10,214.83
  6. Step 6: Final answer
    x = 9,473.85

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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.