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Finding the Fourth Proportional to 6,388.21, 9,570.79 and 5,347.09

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Solution

The fourth proportional to 6,388.21, 9,570.79 and 5,347.09 is: 8,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.21 : 9,570.79 = 5,347.09 : x
  2. Step 2: Convert to fraction form
    6,388.21/9,570.79 = 5,347.09/x
  3. Step 3: Cross multiply
    6,388.21x = 9,570.79 × 5,347.09
  4. Step 4: Simplify right side
    6,388.21x = 51,175,875.50
  5. Step 5: Solve for x
    x = 51,175,875.50/6,388.21
  6. Step 6: Final answer
    x = 8,010.99

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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.