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Finding the Fourth Proportional to 7,207.94, 9,947.31 and 4,064.06

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Solution

The fourth proportional to 7,207.94, 9,947.31 and 4,064.06 is: 5,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.94 : 9,947.31 = 4,064.06 : x
  2. Step 2: Convert to fraction form
    7,207.94/9,947.31 = 4,064.06/x
  3. Step 3: Cross multiply
    7,207.94x = 9,947.31 × 4,064.06
  4. Step 4: Simplify right side
    7,207.94x = 40,426,474.31
  5. Step 5: Solve for x
    x = 40,426,474.31/7,207.94
  6. Step 6: Final answer
    x = 5,608.60

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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.