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Finding the Fourth Proportional to 6,537.21, 9,807.03 and 2,154.98

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Solution

The fourth proportional to 6,537.21, 9,807.03 and 2,154.98 is: 3,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.21 : 9,807.03 = 2,154.98 : x
  2. Step 2: Convert to fraction form
    6,537.21/9,807.03 = 2,154.98/x
  3. Step 3: Cross multiply
    6,537.21x = 9,807.03 × 2,154.98
  4. Step 4: Simplify right side
    6,537.21x = 21,133,904.47
  5. Step 5: Solve for x
    x = 21,133,904.47/6,537.21
  6. Step 6: Final answer
    x = 3,232.86

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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.