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Finding the Fourth Proportional to 9,246.20, 13,853.10 and 5,779.40

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Solution

The fourth proportional to 9,246.20, 13,853.10 and 5,779.40 is: 8,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.20 : 13,853.10 = 5,779.40 : x
  2. Step 2: Convert to fraction form
    9,246.20/13,853.10 = 5,779.40/x
  3. Step 3: Cross multiply
    9,246.20x = 13,853.10 × 5,779.40
  4. Step 4: Simplify right side
    9,246.20x = 80,062,606.14
  5. Step 5: Solve for x
    x = 80,062,606.14/9,246.20
  6. Step 6: Final answer
    x = 8,658.97

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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.