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Finding the Fourth Proportional to 6,644.09, 9,966.11 and 1,713.31

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Solution

The fourth proportional to 6,644.09, 9,966.11 and 1,713.31 is: 2,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.09 : 9,966.11 = 1,713.31 : x
  2. Step 2: Convert to fraction form
    6,644.09/9,966.11 = 1,713.31/x
  3. Step 3: Cross multiply
    6,644.09x = 9,966.11 × 1,713.31
  4. Step 4: Simplify right side
    6,644.09x = 17,075,002.44
  5. Step 5: Solve for x
    x = 17,075,002.44/6,644.09
  6. Step 6: Final answer
    x = 2,569.95

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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.