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Finding the Fourth Proportional to 6,064.29, 9,098.37 and 3,101.40

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Solution

The fourth proportional to 6,064.29, 9,098.37 and 3,101.40 is: 4,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.29 : 9,098.37 = 3,101.40 : x
  2. Step 2: Convert to fraction form
    6,064.29/9,098.37 = 3,101.40/x
  3. Step 3: Cross multiply
    6,064.29x = 9,098.37 × 3,101.40
  4. Step 4: Simplify right side
    6,064.29x = 28,217,684.72
  5. Step 5: Solve for x
    x = 28,217,684.72/6,064.29
  6. Step 6: Final answer
    x = 4,653.09

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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.