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Finding the Fourth Proportional to 12,214.35, 16,856.16 and 6,909.06

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Solution

The fourth proportional to 12,214.35, 16,856.16 and 6,909.06 is: 9,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.35 : 16,856.16 = 6,909.06 : x
  2. Step 2: Convert to fraction form
    12,214.35/16,856.16 = 6,909.06/x
  3. Step 3: Cross multiply
    12,214.35x = 16,856.16 × 6,909.06
  4. Step 4: Simplify right side
    12,214.35x = 116,460,220.81
  5. Step 5: Solve for x
    x = 116,460,220.81/12,214.35
  6. Step 6: Final answer
    x = 9,534.70

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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.