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Finding the Fourth Proportional to 9,756.52, 14,635.86 and 3,912.46

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Solution

The fourth proportional to 9,756.52, 14,635.86 and 3,912.46 is: 5,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.52 : 14,635.86 = 3,912.46 : x
  2. Step 2: Convert to fraction form
    9,756.52/14,635.86 = 3,912.46/x
  3. Step 3: Cross multiply
    9,756.52x = 14,635.86 × 3,912.46
  4. Step 4: Simplify right side
    9,756.52x = 57,262,216.82
  5. Step 5: Solve for x
    x = 57,262,216.82/9,756.52
  6. Step 6: Final answer
    x = 5,869.12

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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.