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Finding the Fourth Proportional to 6,537.17, 9,807.29 and 2,154.46

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Solution

The fourth proportional to 6,537.17, 9,807.29 and 2,154.46 is: 3,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.17 : 9,807.29 = 2,154.46 : x
  2. Step 2: Convert to fraction form
    6,537.17/9,807.29 = 2,154.46/x
  3. Step 3: Cross multiply
    6,537.17x = 9,807.29 × 2,154.46
  4. Step 4: Simplify right side
    6,537.17x = 21,129,414.01
  5. Step 5: Solve for x
    x = 21,129,414.01/6,537.17
  6. Step 6: Final answer
    x = 3,232.20

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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.