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Finding the Fourth Proportional to 9,678.40, 14,520.06 and 3,834.28

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Solution

The fourth proportional to 9,678.40, 14,520.06 and 3,834.28 is: 5,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.40 : 14,520.06 = 3,834.28 : x
  2. Step 2: Convert to fraction form
    9,678.40/14,520.06 = 3,834.28/x
  3. Step 3: Cross multiply
    9,678.40x = 14,520.06 × 3,834.28
  4. Step 4: Simplify right side
    9,678.40x = 55,673,975.66
  5. Step 5: Solve for x
    x = 55,673,975.66/9,678.40
  6. Step 6: Final answer
    x = 5,752.39

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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.