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Finding the Fourth Proportional to 8,977.56, 13,462.14 and 3,133.44

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Solution

The fourth proportional to 8,977.56, 13,462.14 and 3,133.44 is: 4,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.56 : 13,462.14 = 3,133.44 : x
  2. Step 2: Convert to fraction form
    8,977.56/13,462.14 = 3,133.44/x
  3. Step 3: Cross multiply
    8,977.56x = 13,462.14 × 3,133.44
  4. Step 4: Simplify right side
    8,977.56x = 42,182,807.96
  5. Step 5: Solve for x
    x = 42,182,807.96/8,977.56
  6. Step 6: Final answer
    x = 4,698.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.