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Finding the Fourth Proportional to 9,003.59, 12,429.63 and 6,578.24

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Solution

The fourth proportional to 9,003.59, 12,429.63 and 6,578.24 is: 9,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.59 : 12,429.63 = 6,578.24 : x
  2. Step 2: Convert to fraction form
    9,003.59/12,429.63 = 6,578.24/x
  3. Step 3: Cross multiply
    9,003.59x = 12,429.63 × 6,578.24
  4. Step 4: Simplify right side
    9,003.59x = 81,765,089.25
  5. Step 5: Solve for x
    x = 81,765,089.25/9,003.59
  6. Step 6: Final answer
    x = 9,081.39

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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.