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Finding the Fourth Proportional to 6,065.94, 9,101.52 and 3,146.28

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Solution

The fourth proportional to 6,065.94, 9,101.52 and 3,146.28 is: 4,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.94 : 9,101.52 = 3,146.28 : x
  2. Step 2: Convert to fraction form
    6,065.94/9,101.52 = 3,146.28/x
  3. Step 3: Cross multiply
    6,065.94x = 9,101.52 × 3,146.28
  4. Step 4: Simplify right side
    6,065.94x = 28,635,930.35
  5. Step 5: Solve for x
    x = 28,635,930.35/6,065.94
  6. Step 6: Final answer
    x = 4,720.77

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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.