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Finding the Fourth Proportional to 7,102.68, 9,811.26 and 6,440.28

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Solution

The fourth proportional to 7,102.68, 9,811.26 and 6,440.28 is: 8,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.68 : 9,811.26 = 6,440.28 : x
  2. Step 2: Convert to fraction form
    7,102.68/9,811.26 = 6,440.28/x
  3. Step 3: Cross multiply
    7,102.68x = 9,811.26 × 6,440.28
  4. Step 4: Simplify right side
    7,102.68x = 63,187,261.55
  5. Step 5: Solve for x
    x = 63,187,261.55/7,102.68
  6. Step 6: Final answer
    x = 8,896.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.