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Finding the Fourth Proportional to 6,258.80, 9,381.42 and 4,069.10

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Solution

The fourth proportional to 6,258.80, 9,381.42 and 4,069.10 is: 6,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.80 : 9,381.42 = 4,069.10 : x
  2. Step 2: Convert to fraction form
    6,258.80/9,381.42 = 4,069.10/x
  3. Step 3: Cross multiply
    6,258.80x = 9,381.42 × 4,069.10
  4. Step 4: Simplify right side
    6,258.80x = 38,173,936.12
  5. Step 5: Solve for x
    x = 38,173,936.12/6,258.80
  6. Step 6: Final answer
    x = 6,099.24

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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.