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Finding the Fourth Proportional to 9,372.64, 12,933.84 and 5,123.62

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Solution

The fourth proportional to 9,372.64, 12,933.84 and 5,123.62 is: 7,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.64 : 12,933.84 = 5,123.62 : x
  2. Step 2: Convert to fraction form
    9,372.64/12,933.84 = 5,123.62/x
  3. Step 3: Cross multiply
    9,372.64x = 12,933.84 × 5,123.62
  4. Step 4: Simplify right side
    9,372.64x = 66,268,081.30
  5. Step 5: Solve for x
    x = 66,268,081.30/9,372.64
  6. Step 6: Final answer
    x = 7,070.38

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Why These Related Problems?

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