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Finding the Fourth Proportional to 6,297.77, 9,484.14 and 5,485.84

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Solution

The fourth proportional to 6,297.77, 9,484.14 and 5,485.84 is: 8,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.77 : 9,484.14 = 5,485.84 : x
  2. Step 2: Convert to fraction form
    6,297.77/9,484.14 = 5,485.84/x
  3. Step 3: Cross multiply
    6,297.77x = 9,484.14 × 5,485.84
  4. Step 4: Simplify right side
    6,297.77x = 52,028,474.58
  5. Step 5: Solve for x
    x = 52,028,474.58/6,297.77
  6. Step 6: Final answer
    x = 8,261.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.