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Finding the Fourth Proportional to 9,051.94, 13,579.78 and 4,375.20

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Solution

The fourth proportional to 9,051.94, 13,579.78 and 4,375.20 is: 6,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.94 : 13,579.78 = 4,375.20 : x
  2. Step 2: Convert to fraction form
    9,051.94/13,579.78 = 4,375.20/x
  3. Step 3: Cross multiply
    9,051.94x = 13,579.78 × 4,375.20
  4. Step 4: Simplify right side
    9,051.94x = 59,414,242.52
  5. Step 5: Solve for x
    x = 59,414,242.52/9,051.94
  6. Step 6: Final answer
    x = 6,563.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.