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Finding the Fourth Proportional to 6,188.71, 9,270.50 and 4,941.41

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Solution

The fourth proportional to 6,188.71, 9,270.50 and 4,941.41 is: 7,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.71 : 9,270.50 = 4,941.41 : x
  2. Step 2: Convert to fraction form
    6,188.71/9,270.50 = 4,941.41/x
  3. Step 3: Cross multiply
    6,188.71x = 9,270.50 × 4,941.41
  4. Step 4: Simplify right side
    6,188.71x = 45,809,341.41
  5. Step 5: Solve for x
    x = 45,809,341.41/6,188.71
  6. Step 6: Final answer
    x = 7,402.08

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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.