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Finding the Fourth Proportional to 9,704, 13,393.68 and 6,166.52

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Solution

The fourth proportional to 9,704, 13,393.68 and 6,166.52 is: 8,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704 : 13,393.68 = 6,166.52 : x
  2. Step 2: Convert to fraction form
    9,704/13,393.68 = 6,166.52/x
  3. Step 3: Cross multiply
    9,704x = 13,393.68 × 6,166.52
  4. Step 4: Simplify right side
    9,704x = 82,592,395.59
  5. Step 5: Solve for x
    x = 82,592,395.59/9,704
  6. Step 6: Final answer
    x = 8,511.17

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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.