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Finding the Fourth Proportional to 6,525.17, 9,783.49 and 4,297.26

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Solution

The fourth proportional to 6,525.17, 9,783.49 and 4,297.26 is: 6,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.17 : 9,783.49 = 4,297.26 : x
  2. Step 2: Convert to fraction form
    6,525.17/9,783.49 = 4,297.26/x
  3. Step 3: Cross multiply
    6,525.17x = 9,783.49 × 4,297.26
  4. Step 4: Simplify right side
    6,525.17x = 42,042,200.24
  5. Step 5: Solve for x
    x = 42,042,200.24/6,525.17
  6. Step 6: Final answer
    x = 6,443.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.