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Finding the Fourth Proportional to 9,910.80, 14,850.12 and 5,230.56

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Solution

The fourth proportional to 9,910.80, 14,850.12 and 5,230.56 is: 7,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.80 : 14,850.12 = 5,230.56 : x
  2. Step 2: Convert to fraction form
    9,910.80/14,850.12 = 5,230.56/x
  3. Step 3: Cross multiply
    9,910.80x = 14,850.12 × 5,230.56
  4. Step 4: Simplify right side
    9,910.80x = 77,674,443.67
  5. Step 5: Solve for x
    x = 77,674,443.67/9,910.80
  6. Step 6: Final answer
    x = 7,837.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.