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Finding the Fourth Proportional to 9,123.44, 12,590.35 and 5,144.54

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Solution

The fourth proportional to 9,123.44, 12,590.35 and 5,144.54 is: 7,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.44 : 12,590.35 = 5,144.54 : x
  2. Step 2: Convert to fraction form
    9,123.44/12,590.35 = 5,144.54/x
  3. Step 3: Cross multiply
    9,123.44x = 12,590.35 × 5,144.54
  4. Step 4: Simplify right side
    9,123.44x = 64,771,483.38
  5. Step 5: Solve for x
    x = 64,771,483.38/9,123.44
  6. Step 6: Final answer
    x = 7,099.46

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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.