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Finding the Fourth Proportional to 9,296.66, 12,829.84 and 5,105.00

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Solution

The fourth proportional to 9,296.66, 12,829.84 and 5,105.00 is: 7,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.66 : 12,829.84 = 5,105.00 : x
  2. Step 2: Convert to fraction form
    9,296.66/12,829.84 = 5,105.00/x
  3. Step 3: Cross multiply
    9,296.66x = 12,829.84 × 5,105.00
  4. Step 4: Simplify right side
    9,296.66x = 65,496,256.29
  5. Step 5: Solve for x
    x = 65,496,256.29/9,296.66
  6. Step 6: Final answer
    x = 7,045.14

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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.