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Finding the Fourth Proportional to 6,107.74, 9,154.08 and 3,477.40

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Solution

The fourth proportional to 6,107.74, 9,154.08 and 3,477.40 is: 5,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.74 : 9,154.08 = 3,477.40 : x
  2. Step 2: Convert to fraction form
    6,107.74/9,154.08 = 3,477.40/x
  3. Step 3: Cross multiply
    6,107.74x = 9,154.08 × 3,477.40
  4. Step 4: Simplify right side
    6,107.74x = 31,832,374.91
  5. Step 5: Solve for x
    x = 31,832,374.91/6,107.74
  6. Step 6: Final answer
    x = 5,211.81

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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.