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Finding the Fourth Proportional to 6,496.22, 8,968.23 and 5,206.07

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Solution

The fourth proportional to 6,496.22, 8,968.23 and 5,206.07 is: 7,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.22 : 8,968.23 = 5,206.07 : x
  2. Step 2: Convert to fraction form
    6,496.22/8,968.23 = 5,206.07/x
  3. Step 3: Cross multiply
    6,496.22x = 8,968.23 × 5,206.07
  4. Step 4: Simplify right side
    6,496.22x = 46,689,188.31
  5. Step 5: Solve for x
    x = 46,689,188.31/6,496.22
  6. Step 6: Final answer
    x = 7,187.14

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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.