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Finding the Fourth Proportional to 9,866.57, 14,805.32 and 4,022.72

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Solution

The fourth proportional to 9,866.57, 14,805.32 and 4,022.72 is: 6,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.57 : 14,805.32 = 4,022.72 : x
  2. Step 2: Convert to fraction form
    9,866.57/14,805.32 = 4,022.72/x
  3. Step 3: Cross multiply
    9,866.57x = 14,805.32 × 4,022.72
  4. Step 4: Simplify right side
    9,866.57x = 59,557,673.77
  5. Step 5: Solve for x
    x = 59,557,673.77/9,866.57
  6. Step 6: Final answer
    x = 6,036.31

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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.