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Finding the Fourth Proportional to 6,114.76, 9,176.22 and 5,291.80

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Solution

The fourth proportional to 6,114.76, 9,176.22 and 5,291.80 is: 7,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.76 : 9,176.22 = 5,291.80 : x
  2. Step 2: Convert to fraction form
    6,114.76/9,176.22 = 5,291.80/x
  3. Step 3: Cross multiply
    6,114.76x = 9,176.22 × 5,291.80
  4. Step 4: Simplify right side
    6,114.76x = 48,558,721.00
  5. Step 5: Solve for x
    x = 48,558,721.00/6,114.76
  6. Step 6: Final answer
    x = 7,941.23

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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.