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Finding the Fourth Proportional to 9,206.86, 12,705.62 and 5,228.08

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Solution

The fourth proportional to 9,206.86, 12,705.62 and 5,228.08 is: 7,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.86 : 12,705.62 = 5,228.08 : x
  2. Step 2: Convert to fraction form
    9,206.86/12,705.62 = 5,228.08/x
  3. Step 3: Cross multiply
    9,206.86x = 12,705.62 × 5,228.08
  4. Step 4: Simplify right side
    9,206.86x = 66,425,997.81
  5. Step 5: Solve for x
    x = 66,425,997.81/9,206.86
  6. Step 6: Final answer
    x = 7,214.84

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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.