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Finding the Fourth Proportional to 9,151.32, 12,624.30 and 6,163.32

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Solution

The fourth proportional to 9,151.32, 12,624.30 and 6,163.32 is: 8,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.32 : 12,624.30 = 6,163.32 : x
  2. Step 2: Convert to fraction form
    9,151.32/12,624.30 = 6,163.32/x
  3. Step 3: Cross multiply
    9,151.32x = 12,624.30 × 6,163.32
  4. Step 4: Simplify right side
    9,151.32x = 77,807,600.68
  5. Step 5: Solve for x
    x = 77,807,600.68/9,151.32
  6. Step 6: Final answer
    x = 8,502.34

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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.