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Finding the Fourth Proportional to 7,047.43, 9,712.06 and 5,054.54

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Solution

The fourth proportional to 7,047.43, 9,712.06 and 5,054.54 is: 6,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.43 : 9,712.06 = 5,054.54 : x
  2. Step 2: Convert to fraction form
    7,047.43/9,712.06 = 5,054.54/x
  3. Step 3: Cross multiply
    7,047.43x = 9,712.06 × 5,054.54
  4. Step 4: Simplify right side
    7,047.43x = 49,089,934.56
  5. Step 5: Solve for x
    x = 49,089,934.56/7,047.43
  6. Step 6: Final answer
    x = 6,965.65

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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.