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Finding the Fourth Proportional to 9,642.62, 14,472.15 and 3,803.33

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Solution

The fourth proportional to 9,642.62, 14,472.15 and 3,803.33 is: 5,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.62 : 14,472.15 = 3,803.33 : x
  2. Step 2: Convert to fraction form
    9,642.62/14,472.15 = 3,803.33/x
  3. Step 3: Cross multiply
    9,642.62x = 14,472.15 × 3,803.33
  4. Step 4: Simplify right side
    9,642.62x = 55,042,307.06
  5. Step 5: Solve for x
    x = 55,042,307.06/9,642.62
  6. Step 6: Final answer
    x = 5,708.23

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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.