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Finding the Fourth Proportional to 9,027.42, 12,458.46 and 5,048.58

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Solution

The fourth proportional to 9,027.42, 12,458.46 and 5,048.58 is: 6,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.42 : 12,458.46 = 5,048.58 : x
  2. Step 2: Convert to fraction form
    9,027.42/12,458.46 = 5,048.58/x
  3. Step 3: Cross multiply
    9,027.42x = 12,458.46 × 5,048.58
  4. Step 4: Simplify right side
    9,027.42x = 62,897,531.99
  5. Step 5: Solve for x
    x = 62,897,531.99/9,027.42
  6. Step 6: Final answer
    x = 6,967.39

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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.