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Finding the Fourth Proportional to 7,047.47, 9,723.31 and 4,062.90

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Solution

The fourth proportional to 7,047.47, 9,723.31 and 4,062.90 is: 5,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.47 : 9,723.31 = 4,062.90 : x
  2. Step 2: Convert to fraction form
    7,047.47/9,723.31 = 4,062.90/x
  3. Step 3: Cross multiply
    7,047.47x = 9,723.31 × 4,062.90
  4. Step 4: Simplify right side
    7,047.47x = 39,504,862.50
  5. Step 5: Solve for x
    x = 39,504,862.50/7,047.47
  6. Step 6: Final answer
    x = 5,605.54

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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.