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Finding the Fourth Proportional to 9,814.69, 13,542.96 and 5,834.35

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Solution

The fourth proportional to 9,814.69, 13,542.96 and 5,834.35 is: 8,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.69 : 13,542.96 = 5,834.35 : x
  2. Step 2: Convert to fraction form
    9,814.69/13,542.96 = 5,834.35/x
  3. Step 3: Cross multiply
    9,814.69x = 13,542.96 × 5,834.35
  4. Step 4: Simplify right side
    9,814.69x = 79,014,368.68
  5. Step 5: Solve for x
    x = 79,014,368.68/9,814.69
  6. Step 6: Final answer
    x = 8,050.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.