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Finding the Fourth Proportional to 9,910.12, 14,867.65 and 6,994.12

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Solution

The fourth proportional to 9,910.12, 14,867.65 and 6,994.12 is: 10,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.12 : 14,867.65 = 6,994.12 : x
  2. Step 2: Convert to fraction form
    9,910.12/14,867.65 = 6,994.12/x
  3. Step 3: Cross multiply
    9,910.12x = 14,867.65 × 6,994.12
  4. Step 4: Simplify right side
    9,910.12x = 103,986,053.88
  5. Step 5: Solve for x
    x = 103,986,053.88/9,910.12
  6. Step 6: Final answer
    x = 10,492.92

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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.