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Finding the Fourth Proportional to 9,905.05, 14,854.04 and 4,639.16

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Solution

The fourth proportional to 9,905.05, 14,854.04 and 4,639.16 is: 6,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.05 : 14,854.04 = 4,639.16 : x
  2. Step 2: Convert to fraction form
    9,905.05/14,854.04 = 4,639.16/x
  3. Step 3: Cross multiply
    9,905.05x = 14,854.04 × 4,639.16
  4. Step 4: Simplify right side
    9,905.05x = 68,910,299.54
  5. Step 5: Solve for x
    x = 68,910,299.54/9,905.05
  6. Step 6: Final answer
    x = 6,957.09

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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.