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Finding the Fourth Proportional to 28,400.32, 42,606.38 and 9,678.88

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Solution

The fourth proportional to 28,400.32, 42,606.38 and 9,678.88 is: 14,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,400.32 : 42,606.38 = 9,678.88 : x
  2. Step 2: Convert to fraction form
    28,400.32/42,606.38 = 9,678.88/x
  3. Step 3: Cross multiply
    28,400.32x = 42,606.38 × 9,678.88
  4. Step 4: Simplify right side
    28,400.32x = 412,382,039.25
  5. Step 5: Solve for x
    x = 412,382,039.25/28,400.32
  6. Step 6: Final answer
    x = 14,520.33

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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.