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Finding the Fourth Proportional to 6,588.21, 9,889.28 and 6,439.48

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Solution

The fourth proportional to 6,588.21, 9,889.28 and 6,439.48 is: 9,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.21 : 9,889.28 = 6,439.48 : x
  2. Step 2: Convert to fraction form
    6,588.21/9,889.28 = 6,439.48/x
  3. Step 3: Cross multiply
    6,588.21x = 9,889.28 × 6,439.48
  4. Step 4: Simplify right side
    6,588.21x = 63,681,820.77
  5. Step 5: Solve for x
    x = 63,681,820.77/6,588.21
  6. Step 6: Final answer
    x = 9,666.03

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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.