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Finding the Fourth Proportional to 9,785.68, 14,683.78 and 6,500.32

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Solution

The fourth proportional to 9,785.68, 14,683.78 and 6,500.32 is: 9,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.68 : 14,683.78 = 6,500.32 : x
  2. Step 2: Convert to fraction form
    9,785.68/14,683.78 = 6,500.32/x
  3. Step 3: Cross multiply
    9,785.68x = 14,683.78 × 6,500.32
  4. Step 4: Simplify right side
    9,785.68x = 95,449,268.81
  5. Step 5: Solve for x
    x = 95,449,268.81/9,785.68
  6. Step 6: Final answer
    x = 9,753.97

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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.