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Finding the Fourth Proportional to 9,442.85, 14,169.47 and 4,511.84

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Solution

The fourth proportional to 9,442.85, 14,169.47 and 4,511.84 is: 6,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.85 : 14,169.47 = 4,511.84 : x
  2. Step 2: Convert to fraction form
    9,442.85/14,169.47 = 4,511.84/x
  3. Step 3: Cross multiply
    9,442.85x = 14,169.47 × 4,511.84
  4. Step 4: Simplify right side
    9,442.85x = 63,930,288.12
  5. Step 5: Solve for x
    x = 63,930,288.12/9,442.85
  6. Step 6: Final answer
    x = 6,770.24

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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.