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Finding the Fourth Proportional to 6,118.19, 9,178.05 and 1,735.64

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Solution

The fourth proportional to 6,118.19, 9,178.05 and 1,735.64 is: 2,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.19 : 9,178.05 = 1,735.64 : x
  2. Step 2: Convert to fraction form
    6,118.19/9,178.05 = 1,735.64/x
  3. Step 3: Cross multiply
    6,118.19x = 9,178.05 × 1,735.64
  4. Step 4: Simplify right side
    6,118.19x = 15,929,790.70
  5. Step 5: Solve for x
    x = 15,929,790.70/6,118.19
  6. Step 6: Final answer
    x = 2,603.68

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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.