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Finding the Fourth Proportional to 9,306.04, 12,834.84 and 5,762.56

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Solution

The fourth proportional to 9,306.04, 12,834.84 and 5,762.56 is: 7,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.04 : 12,834.84 = 5,762.56 : x
  2. Step 2: Convert to fraction form
    9,306.04/12,834.84 = 5,762.56/x
  3. Step 3: Cross multiply
    9,306.04x = 12,834.84 × 5,762.56
  4. Step 4: Simplify right side
    9,306.04x = 73,961,535.59
  5. Step 5: Solve for x
    x = 73,961,535.59/9,306.04
  6. Step 6: Final answer
    x = 7,947.69

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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.