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Finding the Fourth Proportional to 9,311.50, 13,964.27 and 3,070.35

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Solution

The fourth proportional to 9,311.50, 13,964.27 and 3,070.35 is: 4,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.50 : 13,964.27 = 3,070.35 : x
  2. Step 2: Convert to fraction form
    9,311.50/13,964.27 = 3,070.35/x
  3. Step 3: Cross multiply
    9,311.50x = 13,964.27 × 3,070.35
  4. Step 4: Simplify right side
    9,311.50x = 42,875,126.57
  5. Step 5: Solve for x
    x = 42,875,126.57/9,311.50
  6. Step 6: Final answer
    x = 4,604.54

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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.