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Finding the Fourth Proportional to 9,814.34, 13,545.76 and 5,834.68

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Solution

The fourth proportional to 9,814.34, 13,545.76 and 5,834.68 is: 8,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.34 : 13,545.76 = 5,834.68 : x
  2. Step 2: Convert to fraction form
    9,814.34/13,545.76 = 5,834.68/x
  3. Step 3: Cross multiply
    9,814.34x = 13,545.76 × 5,834.68
  4. Step 4: Simplify right side
    9,814.34x = 79,035,174.96
  5. Step 5: Solve for x
    x = 79,035,174.96/9,814.34
  6. Step 6: Final answer
    x = 8,053.03

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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.