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Finding the Fourth Proportional to 9,541.84, 14,305.08 and 4,073.68

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Solution

The fourth proportional to 9,541.84, 14,305.08 and 4,073.68 is: 6,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.84 : 14,305.08 = 4,073.68 : x
  2. Step 2: Convert to fraction form
    9,541.84/14,305.08 = 4,073.68/x
  3. Step 3: Cross multiply
    9,541.84x = 14,305.08 × 4,073.68
  4. Step 4: Simplify right side
    9,541.84x = 58,274,318.29
  5. Step 5: Solve for x
    x = 58,274,318.29/9,541.84
  6. Step 6: Final answer
    x = 6,107.24

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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.