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Finding the Fourth Proportional to 6,904.36, 9,525.06 and 4,250.80

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Solution

The fourth proportional to 6,904.36, 9,525.06 and 4,250.80 is: 5,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.36 : 9,525.06 = 4,250.80 : x
  2. Step 2: Convert to fraction form
    6,904.36/9,525.06 = 4,250.80/x
  3. Step 3: Cross multiply
    6,904.36x = 9,525.06 × 4,250.80
  4. Step 4: Simplify right side
    6,904.36x = 40,489,125.05
  5. Step 5: Solve for x
    x = 40,489,125.05/6,904.36
  6. Step 6: Final answer
    x = 5,864.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.