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Finding the Fourth Proportional to 7,153.92, 9,872.82 and 4,009.86

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Solution

The fourth proportional to 7,153.92, 9,872.82 and 4,009.86 is: 5,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.92 : 9,872.82 = 4,009.86 : x
  2. Step 2: Convert to fraction form
    7,153.92/9,872.82 = 4,009.86/x
  3. Step 3: Cross multiply
    7,153.92x = 9,872.82 × 4,009.86
  4. Step 4: Simplify right side
    7,153.92x = 39,588,626.01
  5. Step 5: Solve for x
    x = 39,588,626.01/7,153.92
  6. Step 6: Final answer
    x = 5,533.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.