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Finding the Fourth Proportional to 9,095.85, 13,626.68 and 5,188.41

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Solution

The fourth proportional to 9,095.85, 13,626.68 and 5,188.41 is: 7,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.85 : 13,626.68 = 5,188.41 : x
  2. Step 2: Convert to fraction form
    9,095.85/13,626.68 = 5,188.41/x
  3. Step 3: Cross multiply
    9,095.85x = 13,626.68 × 5,188.41
  4. Step 4: Simplify right side
    9,095.85x = 70,700,776.84
  5. Step 5: Solve for x
    x = 70,700,776.84/9,095.85
  6. Step 6: Final answer
    x = 7,772.86

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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.