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Finding the Fourth Proportional to 6,205.61, 8,572.45 and 5,645.09

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Solution

The fourth proportional to 6,205.61, 8,572.45 and 5,645.09 is: 7,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.61 : 8,572.45 = 5,645.09 : x
  2. Step 2: Convert to fraction form
    6,205.61/8,572.45 = 5,645.09/x
  3. Step 3: Cross multiply
    6,205.61x = 8,572.45 × 5,645.09
  4. Step 4: Simplify right side
    6,205.61x = 48,392,251.77
  5. Step 5: Solve for x
    x = 48,392,251.77/6,205.61
  6. Step 6: Final answer
    x = 7,798.15

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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.