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Finding the Fourth Proportional to 9,164.94, 13,737.61 and 3,898.72

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Solution

The fourth proportional to 9,164.94, 13,737.61 and 3,898.72 is: 5,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.94 : 13,737.61 = 3,898.72 : x
  2. Step 2: Convert to fraction form
    9,164.94/13,737.61 = 3,898.72/x
  3. Step 3: Cross multiply
    9,164.94x = 13,737.61 × 3,898.72
  4. Step 4: Simplify right side
    9,164.94x = 53,559,094.86
  5. Step 5: Solve for x
    x = 53,559,094.86/9,164.94
  6. Step 6: Final answer
    x = 5,843.91

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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.