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Finding the Fourth Proportional to 9,917, 14,867.76 and 5,230.88

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Solution

The fourth proportional to 9,917, 14,867.76 and 5,230.88 is: 7,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917 : 14,867.76 = 5,230.88 : x
  2. Step 2: Convert to fraction form
    9,917/14,867.76 = 5,230.88/x
  3. Step 3: Cross multiply
    9,917x = 14,867.76 × 5,230.88
  4. Step 4: Simplify right side
    9,917x = 77,771,468.43
  5. Step 5: Solve for x
    x = 77,771,468.43/9,917
  6. Step 6: Final answer
    x = 7,842.24

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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.