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Finding the Fourth Proportional to 9,296.04, 12,834.54 and 5,763

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Solution

The fourth proportional to 9,296.04, 12,834.54 and 5,763 is: 7,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.04 : 12,834.54 = 5,763 : x
  2. Step 2: Convert to fraction form
    9,296.04/12,834.54 = 5,763/x
  3. Step 3: Cross multiply
    9,296.04x = 12,834.54 × 5,763
  4. Step 4: Simplify right side
    9,296.04x = 73,965,454.02
  5. Step 5: Solve for x
    x = 73,965,454.02/9,296.04
  6. Step 6: Final answer
    x = 7,956.66

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Why These Related Problems?

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