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Finding the Fourth Proportional to 9,906.18, 14,828.28 and 6,391.49

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Solution

The fourth proportional to 9,906.18, 14,828.28 and 6,391.49 is: 9,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.18 : 14,828.28 = 6,391.49 : x
  2. Step 2: Convert to fraction form
    9,906.18/14,828.28 = 6,391.49/x
  3. Step 3: Cross multiply
    9,906.18x = 14,828.28 × 6,391.49
  4. Step 4: Simplify right side
    9,906.18x = 94,774,729.20
  5. Step 5: Solve for x
    x = 94,774,729.20/9,906.18
  6. Step 6: Final answer
    x = 9,567.23

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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.