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Finding the Fourth Proportional to 9,764.87, 14,652.47 and 5,325.74

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Solution

The fourth proportional to 9,764.87, 14,652.47 and 5,325.74 is: 7,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.87 : 14,652.47 = 5,325.74 : x
  2. Step 2: Convert to fraction form
    9,764.87/14,652.47 = 5,325.74/x
  3. Step 3: Cross multiply
    9,764.87x = 14,652.47 × 5,325.74
  4. Step 4: Simplify right side
    9,764.87x = 78,035,245.58
  5. Step 5: Solve for x
    x = 78,035,245.58/9,764.87
  6. Step 6: Final answer
    x = 7,991.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.