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Finding the Fourth Proportional to 6,407.40, 9,586.75 and 3,909.26

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Solution

The fourth proportional to 6,407.40, 9,586.75 and 3,909.26 is: 5,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.40 : 9,586.75 = 3,909.26 : x
  2. Step 2: Convert to fraction form
    6,407.40/9,586.75 = 3,909.26/x
  3. Step 3: Cross multiply
    6,407.40x = 9,586.75 × 3,909.26
  4. Step 4: Simplify right side
    6,407.40x = 37,477,117.08
  5. Step 5: Solve for x
    x = 37,477,117.08/6,407.40
  6. Step 6: Final answer
    x = 5,849.04

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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.