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Finding the Fourth Proportional to 9,311.87, 12,848.54 and 5,223.81

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Solution

The fourth proportional to 9,311.87, 12,848.54 and 5,223.81 is: 7,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.87 : 12,848.54 = 5,223.81 : x
  2. Step 2: Convert to fraction form
    9,311.87/12,848.54 = 5,223.81/x
  3. Step 3: Cross multiply
    9,311.87x = 12,848.54 × 5,223.81
  4. Step 4: Simplify right side
    9,311.87x = 67,118,331.74
  5. Step 5: Solve for x
    x = 67,118,331.74/9,311.87
  6. Step 6: Final answer
    x = 7,207.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.