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Finding the Fourth Proportional to 6,539.86, 9,814.65 and 5,256.82

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Solution

The fourth proportional to 6,539.86, 9,814.65 and 5,256.82 is: 7,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.86 : 9,814.65 = 5,256.82 : x
  2. Step 2: Convert to fraction form
    6,539.86/9,814.65 = 5,256.82/x
  3. Step 3: Cross multiply
    6,539.86x = 9,814.65 × 5,256.82
  4. Step 4: Simplify right side
    6,539.86x = 51,593,848.41
  5. Step 5: Solve for x
    x = 51,593,848.41/6,539.86
  6. Step 6: Final answer
    x = 7,889.14

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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.