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Finding the Fourth Proportional to 9,213.20, 12,710.40 and 6,420.32

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Solution

The fourth proportional to 9,213.20, 12,710.40 and 6,420.32 is: 8,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.20 : 12,710.40 = 6,420.32 : x
  2. Step 2: Convert to fraction form
    9,213.20/12,710.40 = 6,420.32/x
  3. Step 3: Cross multiply
    9,213.20x = 12,710.40 × 6,420.32
  4. Step 4: Simplify right side
    9,213.20x = 81,604,835.33
  5. Step 5: Solve for x
    x = 81,604,835.33/9,213.20
  6. Step 6: Final answer
    x = 8,857.38

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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.