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Finding the Fourth Proportional to 9,123.17, 12,590.06 and 5,144.39

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Solution

The fourth proportional to 9,123.17, 12,590.06 and 5,144.39 is: 7,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.17 : 12,590.06 = 5,144.39 : x
  2. Step 2: Convert to fraction form
    9,123.17/12,590.06 = 5,144.39/x
  3. Step 3: Cross multiply
    9,123.17x = 12,590.06 × 5,144.39
  4. Step 4: Simplify right side
    9,123.17x = 64,768,090.09
  5. Step 5: Solve for x
    x = 64,768,090.09/9,123.17
  6. Step 6: Final answer
    x = 7,099.29

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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.