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Finding the Fourth Proportional to 9,529.92, 14,298.48 and 3,987

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Solution

The fourth proportional to 9,529.92, 14,298.48 and 3,987 is: 5,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.92 : 14,298.48 = 3,987 : x
  2. Step 2: Convert to fraction form
    9,529.92/14,298.48 = 3,987/x
  3. Step 3: Cross multiply
    9,529.92x = 14,298.48 × 3,987
  4. Step 4: Simplify right side
    9,529.92x = 57,008,039.76
  5. Step 5: Solve for x
    x = 57,008,039.76/9,529.92
  6. Step 6: Final answer
    x = 5,982.01

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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.