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Finding the Fourth Proportional to 9,508.90, 14,269.01 and 5,069.83

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Solution

The fourth proportional to 9,508.90, 14,269.01 and 5,069.83 is: 7,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.90 : 14,269.01 = 5,069.83 : x
  2. Step 2: Convert to fraction form
    9,508.90/14,269.01 = 5,069.83/x
  3. Step 3: Cross multiply
    9,508.90x = 14,269.01 × 5,069.83
  4. Step 4: Simplify right side
    9,508.90x = 72,341,454.97
  5. Step 5: Solve for x
    x = 72,341,454.97/9,508.90
  6. Step 6: Final answer
    x = 7,607.76

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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.