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Finding the Fourth Proportional to 9,814.86, 14,720.84 and 3,241.10

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Solution

The fourth proportional to 9,814.86, 14,720.84 and 3,241.10 is: 4,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.86 : 14,720.84 = 3,241.10 : x
  2. Step 2: Convert to fraction form
    9,814.86/14,720.84 = 3,241.10/x
  3. Step 3: Cross multiply
    9,814.86x = 14,720.84 × 3,241.10
  4. Step 4: Simplify right side
    9,814.86x = 47,711,698.32
  5. Step 5: Solve for x
    x = 47,711,698.32/9,814.86
  6. Step 6: Final answer
    x = 4,861.17

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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.