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Finding the Fourth Proportional to 6,530.30, 9,781.05 and 5,666.30

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Solution

The fourth proportional to 6,530.30, 9,781.05 and 5,666.30 is: 8,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.30 : 9,781.05 = 5,666.30 : x
  2. Step 2: Convert to fraction form
    6,530.30/9,781.05 = 5,666.30/x
  3. Step 3: Cross multiply
    6,530.30x = 9,781.05 × 5,666.30
  4. Step 4: Simplify right side
    6,530.30x = 55,422,363.62
  5. Step 5: Solve for x
    x = 55,422,363.62/6,530.30
  6. Step 6: Final answer
    x = 8,486.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.