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Finding the Fourth Proportional to 6,575.46, 9,852.26 and 5,409.06

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Solution

The fourth proportional to 6,575.46, 9,852.26 and 5,409.06 is: 8,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.46 : 9,852.26 = 5,409.06 : x
  2. Step 2: Convert to fraction form
    6,575.46/9,852.26 = 5,409.06/x
  3. Step 3: Cross multiply
    6,575.46x = 9,852.26 × 5,409.06
  4. Step 4: Simplify right side
    6,575.46x = 53,291,438.43
  5. Step 5: Solve for x
    x = 53,291,438.43/6,575.46
  6. Step 6: Final answer
    x = 8,104.59

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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.