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Finding the Fourth Proportional to 9,472.14, 13,070.79 and 5,280.30

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Solution

The fourth proportional to 9,472.14, 13,070.79 and 5,280.30 is: 7,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.14 : 13,070.79 = 5,280.30 : x
  2. Step 2: Convert to fraction form
    9,472.14/13,070.79 = 5,280.30/x
  3. Step 3: Cross multiply
    9,472.14x = 13,070.79 × 5,280.30
  4. Step 4: Simplify right side
    9,472.14x = 69,017,692.44
  5. Step 5: Solve for x
    x = 69,017,692.44/9,472.14
  6. Step 6: Final answer
    x = 7,286.39

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Why These Related Problems?

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