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Finding the Fourth Proportional to 9,834.50, 14,754.64 and 2,909.18

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Solution

The fourth proportional to 9,834.50, 14,754.64 and 2,909.18 is: 4,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.50 : 14,754.64 = 2,909.18 : x
  2. Step 2: Convert to fraction form
    9,834.50/14,754.64 = 2,909.18/x
  3. Step 3: Cross multiply
    9,834.50x = 14,754.64 × 2,909.18
  4. Step 4: Simplify right side
    9,834.50x = 42,923,903.60
  5. Step 5: Solve for x
    x = 42,923,903.60/9,834.50
  6. Step 6: Final answer
    x = 4,364.62

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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.