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Finding the Fourth Proportional to 9,566.68, 14,268.41 and 9,400.48

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Solution

The fourth proportional to 9,566.68, 14,268.41 and 9,400.48 is: 14,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.68 : 14,268.41 = 9,400.48 : x
  2. Step 2: Convert to fraction form
    9,566.68/14,268.41 = 9,400.48/x
  3. Step 3: Cross multiply
    9,566.68x = 14,268.41 × 9,400.48
  4. Step 4: Simplify right side
    9,566.68x = 134,129,902.84
  5. Step 5: Solve for x
    x = 134,129,902.84/9,566.68
  6. Step 6: Final answer
    x = 14,020.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.