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Finding the Fourth Proportional to 9,650.68, 14,465.40 and 6,314.92

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Solution

The fourth proportional to 9,650.68, 14,465.40 and 6,314.92 is: 9,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.68 : 14,465.40 = 6,314.92 : x
  2. Step 2: Convert to fraction form
    9,650.68/14,465.40 = 6,314.92/x
  3. Step 3: Cross multiply
    9,650.68x = 14,465.40 × 6,314.92
  4. Step 4: Simplify right side
    9,650.68x = 91,347,843.77
  5. Step 5: Solve for x
    x = 91,347,843.77/9,650.68
  6. Step 6: Final answer
    x = 9,465.43

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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.