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Finding the Fourth Proportional to 9,486.60, 14,228.56 and 5,965.87

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Solution

The fourth proportional to 9,486.60, 14,228.56 and 5,965.87 is: 8,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.60 : 14,228.56 = 5,965.87 : x
  2. Step 2: Convert to fraction form
    9,486.60/14,228.56 = 5,965.87/x
  3. Step 3: Cross multiply
    9,486.60x = 14,228.56 × 5,965.87
  4. Step 4: Simplify right side
    9,486.60x = 84,885,742.12
  5. Step 5: Solve for x
    x = 84,885,742.12/9,486.60
  6. Step 6: Final answer
    x = 8,947.97

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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.