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Finding the Fourth Proportional to 9,643.67, 13,306.46 and 5,663.33

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Solution

The fourth proportional to 9,643.67, 13,306.46 and 5,663.33 is: 7,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.67 : 13,306.46 = 5,663.33 : x
  2. Step 2: Convert to fraction form
    9,643.67/13,306.46 = 5,663.33/x
  3. Step 3: Cross multiply
    9,643.67x = 13,306.46 × 5,663.33
  4. Step 4: Simplify right side
    9,643.67x = 75,358,874.11
  5. Step 5: Solve for x
    x = 75,358,874.11/9,643.67
  6. Step 6: Final answer
    x = 7,814.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.