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Finding the Fourth Proportional to 9,293.46, 13,942.26 and 4,616.04

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Solution

The fourth proportional to 9,293.46, 13,942.26 and 4,616.04 is: 6,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.46 : 13,942.26 = 4,616.04 : x
  2. Step 2: Convert to fraction form
    9,293.46/13,942.26 = 4,616.04/x
  3. Step 3: Cross multiply
    9,293.46x = 13,942.26 × 4,616.04
  4. Step 4: Simplify right side
    9,293.46x = 64,358,029.85
  5. Step 5: Solve for x
    x = 64,358,029.85/9,293.46
  6. Step 6: Final answer
    x = 6,925.09

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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.