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Finding the Fourth Proportional to 6,457.36, 9,686.14 and 2,297.30

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Solution

The fourth proportional to 6,457.36, 9,686.14 and 2,297.30 is: 3,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.36 : 9,686.14 = 2,297.30 : x
  2. Step 2: Convert to fraction form
    6,457.36/9,686.14 = 2,297.30/x
  3. Step 3: Cross multiply
    6,457.36x = 9,686.14 × 2,297.30
  4. Step 4: Simplify right side
    6,457.36x = 22,251,969.42
  5. Step 5: Solve for x
    x = 22,251,969.42/6,457.36
  6. Step 6: Final answer
    x = 3,445.99

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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.