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Finding the Fourth Proportional to 9,318.72, 13,978.07 and 6,388.14

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Solution

The fourth proportional to 9,318.72, 13,978.07 and 6,388.14 is: 9,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.72 : 13,978.07 = 6,388.14 : x
  2. Step 2: Convert to fraction form
    9,318.72/13,978.07 = 6,388.14/x
  3. Step 3: Cross multiply
    9,318.72x = 13,978.07 × 6,388.14
  4. Step 4: Simplify right side
    9,318.72x = 89,293,868.09
  5. Step 5: Solve for x
    x = 89,293,868.09/9,318.72
  6. Step 6: Final answer
    x = 9,582.20

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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.