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Finding the Fourth Proportional to 12,214.76, 16,856.36 and 6,909.46

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Solution

The fourth proportional to 12,214.76, 16,856.36 and 6,909.46 is: 9,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.76 : 16,856.36 = 6,909.46 : x
  2. Step 2: Convert to fraction form
    12,214.76/16,856.36 = 6,909.46/x
  3. Step 3: Cross multiply
    12,214.76x = 16,856.36 × 6,909.46
  4. Step 4: Simplify right side
    12,214.76x = 116,468,345.17
  5. Step 5: Solve for x
    x = 116,468,345.17/12,214.76
  6. Step 6: Final answer
    x = 9,535.05

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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.