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Finding the Fourth Proportional to 6,176.77, 9,254.37 and 5,143.42

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Solution

The fourth proportional to 6,176.77, 9,254.37 and 5,143.42 is: 7,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.77 : 9,254.37 = 5,143.42 : x
  2. Step 2: Convert to fraction form
    6,176.77/9,254.37 = 5,143.42/x
  3. Step 3: Cross multiply
    6,176.77x = 9,254.37 × 5,143.42
  4. Step 4: Simplify right side
    6,176.77x = 47,599,065.47
  5. Step 5: Solve for x
    x = 47,599,065.47/6,176.77
  6. Step 6: Final answer
    x = 7,706.15

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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.