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Finding the Fourth Proportional to 6,302.11, 8,695.43 and 5,297.64

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Solution

The fourth proportional to 6,302.11, 8,695.43 and 5,297.64 is: 7,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.11 : 8,695.43 = 5,297.64 : x
  2. Step 2: Convert to fraction form
    6,302.11/8,695.43 = 5,297.64/x
  3. Step 3: Cross multiply
    6,302.11x = 8,695.43 × 5,297.64
  4. Step 4: Simplify right side
    6,302.11x = 46,065,187.82
  5. Step 5: Solve for x
    x = 46,065,187.82/6,302.11
  6. Step 6: Final answer
    x = 7,309.49

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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.