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Finding the Fourth Proportional to 9,472.48, 14,213.52 and 6,388

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Solution

The fourth proportional to 9,472.48, 14,213.52 and 6,388 is: 9,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.48 : 14,213.52 = 6,388 : x
  2. Step 2: Convert to fraction form
    9,472.48/14,213.52 = 6,388/x
  3. Step 3: Cross multiply
    9,472.48x = 14,213.52 × 6,388
  4. Step 4: Simplify right side
    9,472.48x = 90,795,965.76
  5. Step 5: Solve for x
    x = 90,795,965.76/9,472.48
  6. Step 6: Final answer
    x = 9,585.24

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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.