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Finding the Fourth Proportional to 9,910.47, 14,867.16 and 3,334.42

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Solution

The fourth proportional to 9,910.47, 14,867.16 and 3,334.42 is: 5,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.47 : 14,867.16 = 3,334.42 : x
  2. Step 2: Convert to fraction form
    9,910.47/14,867.16 = 3,334.42/x
  3. Step 3: Cross multiply
    9,910.47x = 14,867.16 × 3,334.42
  4. Step 4: Simplify right side
    9,910.47x = 49,573,355.65
  5. Step 5: Solve for x
    x = 49,573,355.65/9,910.47
  6. Step 6: Final answer
    x = 5,002.12

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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.