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Finding the Fourth Proportional to 7,049.09, 9,723.08 and 4,534.38

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Solution

The fourth proportional to 7,049.09, 9,723.08 and 4,534.38 is: 6,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.09 : 9,723.08 = 4,534.38 : x
  2. Step 2: Convert to fraction form
    7,049.09/9,723.08 = 4,534.38/x
  3. Step 3: Cross multiply
    7,049.09x = 9,723.08 × 4,534.38
  4. Step 4: Simplify right side
    7,049.09x = 44,088,150.83
  5. Step 5: Solve for x
    x = 44,088,150.83/7,049.09
  6. Step 6: Final answer
    x = 6,254.44

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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.