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Finding the Fourth Proportional to 10,214.73, 15,289.22 and 6,909.62

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Solution

The fourth proportional to 10,214.73, 15,289.22 and 6,909.62 is: 10,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.73 : 15,289.22 = 6,909.62 : x
  2. Step 2: Convert to fraction form
    10,214.73/15,289.22 = 6,909.62/x
  3. Step 3: Cross multiply
    10,214.73x = 15,289.22 × 6,909.62
  4. Step 4: Simplify right side
    10,214.73x = 105,642,641.12
  5. Step 5: Solve for x
    x = 105,642,641.12/10,214.73
  6. Step 6: Final answer
    x = 10,342.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.