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Finding the Fourth Proportional to 9,890.73, 13,650.81 and 5,641.89

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Solution

The fourth proportional to 9,890.73, 13,650.81 and 5,641.89 is: 7,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.73 : 13,650.81 = 5,641.89 : x
  2. Step 2: Convert to fraction form
    9,890.73/13,650.81 = 5,641.89/x
  3. Step 3: Cross multiply
    9,890.73x = 13,650.81 × 5,641.89
  4. Step 4: Simplify right side
    9,890.73x = 77,016,368.43
  5. Step 5: Solve for x
    x = 77,016,368.43/9,890.73
  6. Step 6: Final answer
    x = 7,786.72

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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.