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Finding the Fourth Proportional to 9,133.45, 12,590.38 and 7,140.54

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Solution

The fourth proportional to 9,133.45, 12,590.38 and 7,140.54 is: 9,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.45 : 12,590.38 = 7,140.54 : x
  2. Step 2: Convert to fraction form
    9,133.45/12,590.38 = 7,140.54/x
  3. Step 3: Cross multiply
    9,133.45x = 12,590.38 × 7,140.54
  4. Step 4: Simplify right side
    9,133.45x = 89,902,076.30
  5. Step 5: Solve for x
    x = 89,902,076.30/9,133.45
  6. Step 6: Final answer
    x = 9,843.17

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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.