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Finding the Fourth Proportional to 9,508.66, 13,122 and 5,529.97

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Solution

The fourth proportional to 9,508.66, 13,122 and 5,529.97 is: 7,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.66 : 13,122 = 5,529.97 : x
  2. Step 2: Convert to fraction form
    9,508.66/13,122 = 5,529.97/x
  3. Step 3: Cross multiply
    9,508.66x = 13,122 × 5,529.97
  4. Step 4: Simplify right side
    9,508.66x = 72,564,282.74
  5. Step 5: Solve for x
    x = 72,564,282.74/9,508.66
  6. Step 6: Final answer
    x = 7,631.39

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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.