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Finding the Fourth Proportional to 9,839.12, 14,765.16 and 4,645.52

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Solution

The fourth proportional to 9,839.12, 14,765.16 and 4,645.52 is: 6,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.12 : 14,765.16 = 4,645.52 : x
  2. Step 2: Convert to fraction form
    9,839.12/14,765.16 = 4,645.52/x
  3. Step 3: Cross multiply
    9,839.12x = 14,765.16 × 4,645.52
  4. Step 4: Simplify right side
    9,839.12x = 68,591,846.08
  5. Step 5: Solve for x
    x = 68,591,846.08/9,839.12
  6. Step 6: Final answer
    x = 6,971.34

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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.