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Finding the Fourth Proportional to 6,537.16, 9,807.23 and 2,154.52

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Solution

The fourth proportional to 6,537.16, 9,807.23 and 2,154.52 is: 3,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.16 : 9,807.23 = 2,154.52 : x
  2. Step 2: Convert to fraction form
    6,537.16/9,807.23 = 2,154.52/x
  3. Step 3: Cross multiply
    6,537.16x = 9,807.23 × 2,154.52
  4. Step 4: Simplify right side
    6,537.16x = 21,129,873.18
  5. Step 5: Solve for x
    x = 21,129,873.18/6,537.16
  6. Step 6: Final answer
    x = 3,232.27

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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.