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Finding the Fourth Proportional to 28,509.44, 42,764.28 and 9,794.87

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Solution

The fourth proportional to 28,509.44, 42,764.28 and 9,794.87 is: 14,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.44 : 42,764.28 = 9,794.87 : x
  2. Step 2: Convert to fraction form
    28,509.44/42,764.28 = 9,794.87/x
  3. Step 3: Cross multiply
    28,509.44x = 42,764.28 × 9,794.87
  4. Step 4: Simplify right side
    28,509.44x = 418,870,741.15
  5. Step 5: Solve for x
    x = 418,870,741.15/28,509.44
  6. Step 6: Final answer
    x = 14,692.35

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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.