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Finding the Fourth Proportional to 9,644.90, 13,314.30 and 5,666.27

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Solution

The fourth proportional to 9,644.90, 13,314.30 and 5,666.27 is: 7,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.90 : 13,314.30 = 5,666.27 : x
  2. Step 2: Convert to fraction form
    9,644.90/13,314.30 = 5,666.27/x
  3. Step 3: Cross multiply
    9,644.90x = 13,314.30 × 5,666.27
  4. Step 4: Simplify right side
    9,644.90x = 75,442,418.66
  5. Step 5: Solve for x
    x = 75,442,418.66/9,644.90
  6. Step 6: Final answer
    x = 7,822.00

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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.