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Finding the Fourth Proportional to 6,094.90, 9,140.98 and 3,630.42

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Solution

The fourth proportional to 6,094.90, 9,140.98 and 3,630.42 is: 5,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.90 : 9,140.98 = 3,630.42 : x
  2. Step 2: Convert to fraction form
    6,094.90/9,140.98 = 3,630.42/x
  3. Step 3: Cross multiply
    6,094.90x = 9,140.98 × 3,630.42
  4. Step 4: Simplify right side
    6,094.90x = 33,185,584.13
  5. Step 5: Solve for x
    x = 33,185,584.13/6,094.90
  6. Step 6: Final answer
    x = 5,444.82

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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.