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Finding the Fourth Proportional to 9,123.49, 12,590.37 and 5,144.64

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Solution

The fourth proportional to 9,123.49, 12,590.37 and 5,144.64 is: 7,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.49 : 12,590.37 = 5,144.64 : x
  2. Step 2: Convert to fraction form
    9,123.49/12,590.37 = 5,144.64/x
  3. Step 3: Cross multiply
    9,123.49x = 12,590.37 × 5,144.64
  4. Step 4: Simplify right side
    9,123.49x = 64,772,832.44
  5. Step 5: Solve for x
    x = 64,772,832.44/9,123.49
  6. Step 6: Final answer
    x = 7,099.57

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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.