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Finding the Fourth Proportional to 9,036, 12,468.08 and 5,057.12

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Solution

The fourth proportional to 9,036, 12,468.08 and 5,057.12 is: 6,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036 : 12,468.08 = 5,057.12 : x
  2. Step 2: Convert to fraction form
    9,036/12,468.08 = 5,057.12/x
  3. Step 3: Cross multiply
    9,036x = 12,468.08 × 5,057.12
  4. Step 4: Simplify right side
    9,036x = 63,052,576.73
  5. Step 5: Solve for x
    x = 63,052,576.73/9,036
  6. Step 6: Final answer
    x = 6,977.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.