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Finding the Fourth Proportional to 6,140, 9,211.36 and 2,244.32

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Solution

The fourth proportional to 6,140, 9,211.36 and 2,244.32 is: 3,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140 : 9,211.36 = 2,244.32 : x
  2. Step 2: Convert to fraction form
    6,140/9,211.36 = 2,244.32/x
  3. Step 3: Cross multiply
    6,140x = 9,211.36 × 2,244.32
  4. Step 4: Simplify right side
    6,140x = 20,673,239.48
  5. Step 5: Solve for x
    x = 20,673,239.48/6,140
  6. Step 6: Final answer
    x = 3,366.98

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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.