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Finding the Fourth Proportional to 9,640.48, 14,464.26 and 6,888.81

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Solution

The fourth proportional to 9,640.48, 14,464.26 and 6,888.81 is: 10,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.48 : 14,464.26 = 6,888.81 : x
  2. Step 2: Convert to fraction form
    9,640.48/14,464.26 = 6,888.81/x
  3. Step 3: Cross multiply
    9,640.48x = 14,464.26 × 6,888.81
  4. Step 4: Simplify right side
    9,640.48x = 99,641,538.93
  5. Step 5: Solve for x
    x = 99,641,538.93/9,640.48
  6. Step 6: Final answer
    x = 10,335.74

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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.