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Finding the Fourth Proportional to 10,214.25, 14,095.67 and 6,494.73

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Solution

The fourth proportional to 10,214.25, 14,095.67 and 6,494.73 is: 8,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.25 : 14,095.67 = 6,494.73 : x
  2. Step 2: Convert to fraction form
    10,214.25/14,095.67 = 6,494.73/x
  3. Step 3: Cross multiply
    10,214.25x = 14,095.67 × 6,494.73
  4. Step 4: Simplify right side
    10,214.25x = 91,547,538.35
  5. Step 5: Solve for x
    x = 91,547,538.35/10,214.25
  6. Step 6: Final answer
    x = 8,962.73

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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.