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Finding the Fourth Proportional to 9,281.66, 13,914.66 and 6,311.78

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Solution

The fourth proportional to 9,281.66, 13,914.66 and 6,311.78 is: 9,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.66 : 13,914.66 = 6,311.78 : x
  2. Step 2: Convert to fraction form
    9,281.66/13,914.66 = 6,311.78/x
  3. Step 3: Cross multiply
    9,281.66x = 13,914.66 × 6,311.78
  4. Step 4: Simplify right side
    9,281.66x = 87,826,203.12
  5. Step 5: Solve for x
    x = 87,826,203.12/9,281.66
  6. Step 6: Final answer
    x = 9,462.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.