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Finding the Fourth Proportional to 9,679.77, 14,518.28 and 3,105.10

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Solution

The fourth proportional to 9,679.77, 14,518.28 and 3,105.10 is: 4,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.77 : 14,518.28 = 3,105.10 : x
  2. Step 2: Convert to fraction form
    9,679.77/14,518.28 = 3,105.10/x
  3. Step 3: Cross multiply
    9,679.77x = 14,518.28 × 3,105.10
  4. Step 4: Simplify right side
    9,679.77x = 45,080,737.14
  5. Step 5: Solve for x
    x = 45,080,737.14/9,679.77
  6. Step 6: Final answer
    x = 4,657.21

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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.