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Finding the Fourth Proportional to 6,564.24, 9,832.86 and 4,365.90

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Solution

The fourth proportional to 6,564.24, 9,832.86 and 4,365.90 is: 6,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.24 : 9,832.86 = 4,365.90 : x
  2. Step 2: Convert to fraction form
    6,564.24/9,832.86 = 4,365.90/x
  3. Step 3: Cross multiply
    6,564.24x = 9,832.86 × 4,365.90
  4. Step 4: Simplify right side
    6,564.24x = 42,929,283.47
  5. Step 5: Solve for x
    x = 42,929,283.47/6,564.24
  6. Step 6: Final answer
    x = 6,539.87

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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.