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Finding the Fourth Proportional to 9,839.03, 14,750.78 and 4,906.13

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Solution

The fourth proportional to 9,839.03, 14,750.78 and 4,906.13 is: 7,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.03 : 14,750.78 = 4,906.13 : x
  2. Step 2: Convert to fraction form
    9,839.03/14,750.78 = 4,906.13/x
  3. Step 3: Cross multiply
    9,839.03x = 14,750.78 × 4,906.13
  4. Step 4: Simplify right side
    9,839.03x = 72,369,146.00
  5. Step 5: Solve for x
    x = 72,369,146.00/9,839.03
  6. Step 6: Final answer
    x = 7,355.32

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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.