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Finding the Fourth Proportional to 9,582.62, 13,221.99 and 6,043.77

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Solution

The fourth proportional to 9,582.62, 13,221.99 and 6,043.77 is: 8,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.62 : 13,221.99 = 6,043.77 : x
  2. Step 2: Convert to fraction form
    9,582.62/13,221.99 = 6,043.77/x
  3. Step 3: Cross multiply
    9,582.62x = 13,221.99 × 6,043.77
  4. Step 4: Simplify right side
    9,582.62x = 79,910,666.50
  5. Step 5: Solve for x
    x = 79,910,666.50/9,582.62
  6. Step 6: Final answer
    x = 8,339.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.