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Finding the Fourth Proportional to 7,206.47, 9,945.38 and 4,062.66

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Solution

The fourth proportional to 7,206.47, 9,945.38 and 4,062.66 is: 5,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.47 : 9,945.38 = 4,062.66 : x
  2. Step 2: Convert to fraction form
    7,206.47/9,945.38 = 4,062.66/x
  3. Step 3: Cross multiply
    7,206.47x = 9,945.38 × 4,062.66
  4. Step 4: Simplify right side
    7,206.47x = 40,404,670.37
  5. Step 5: Solve for x
    x = 40,404,670.37/7,206.47
  6. Step 6: Final answer
    x = 5,606.72

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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.