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Finding the Fourth Proportional to 6,493.02, 8,964.45 and 4,258.14

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Solution

The fourth proportional to 6,493.02, 8,964.45 and 4,258.14 is: 5,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.02 : 8,964.45 = 4,258.14 : x
  2. Step 2: Convert to fraction form
    6,493.02/8,964.45 = 4,258.14/x
  3. Step 3: Cross multiply
    6,493.02x = 8,964.45 × 4,258.14
  4. Step 4: Simplify right side
    6,493.02x = 38,171,883.12
  5. Step 5: Solve for x
    x = 38,171,883.12/6,493.02
  6. Step 6: Final answer
    x = 5,878.91

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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.