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Finding the Fourth Proportional to 9,409.62, 13,002.19 and 6,752.36

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Solution

The fourth proportional to 9,409.62, 13,002.19 and 6,752.36 is: 9,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.62 : 13,002.19 = 6,752.36 : x
  2. Step 2: Convert to fraction form
    9,409.62/13,002.19 = 6,752.36/x
  3. Step 3: Cross multiply
    9,409.62x = 13,002.19 × 6,752.36
  4. Step 4: Simplify right side
    9,409.62x = 87,795,467.67
  5. Step 5: Solve for x
    x = 87,795,467.67/9,409.62
  6. Step 6: Final answer
    x = 9,330.39

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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.