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Finding the Fourth Proportional to 6,499.17, 8,968.77 and 3,705.21

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Solution

The fourth proportional to 6,499.17, 8,968.77 and 3,705.21 is: 5,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.17 : 8,968.77 = 3,705.21 : x
  2. Step 2: Convert to fraction form
    6,499.17/8,968.77 = 3,705.21/x
  3. Step 3: Cross multiply
    6,499.17x = 8,968.77 × 3,705.21
  4. Step 4: Simplify right side
    6,499.17x = 33,231,176.29
  5. Step 5: Solve for x
    x = 33,231,176.29/6,499.17
  6. Step 6: Final answer
    x = 5,113.14

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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.