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Finding the Fourth Proportional to 9,296.87, 12,829.68 and 5,047.91

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Solution

The fourth proportional to 9,296.87, 12,829.68 and 5,047.91 is: 6,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.87 : 12,829.68 = 5,047.91 : x
  2. Step 2: Convert to fraction form
    9,296.87/12,829.68 = 5,047.91/x
  3. Step 3: Cross multiply
    9,296.87x = 12,829.68 × 5,047.91
  4. Step 4: Simplify right side
    9,296.87x = 64,763,077.99
  5. Step 5: Solve for x
    x = 64,763,077.99/9,296.87
  6. Step 6: Final answer
    x = 6,966.12

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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.