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Finding the Fourth Proportional to 9,812.70, 13,539.69 and 5,834.79

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Solution

The fourth proportional to 9,812.70, 13,539.69 and 5,834.79 is: 8,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.70 : 13,539.69 = 5,834.79 : x
  2. Step 2: Convert to fraction form
    9,812.70/13,539.69 = 5,834.79/x
  3. Step 3: Cross multiply
    9,812.70x = 13,539.69 × 5,834.79
  4. Step 4: Simplify right side
    9,812.70x = 79,001,247.82
  5. Step 5: Solve for x
    x = 79,001,247.82/9,812.70
  6. Step 6: Final answer
    x = 8,050.92

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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.