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Finding the Fourth Proportional to 9,446.26, 13,038.75 and 6,089.08

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Solution

The fourth proportional to 9,446.26, 13,038.75 and 6,089.08 is: 8,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.26 : 13,038.75 = 6,089.08 : x
  2. Step 2: Convert to fraction form
    9,446.26/13,038.75 = 6,089.08/x
  3. Step 3: Cross multiply
    9,446.26x = 13,038.75 × 6,089.08
  4. Step 4: Simplify right side
    9,446.26x = 79,393,991.85
  5. Step 5: Solve for x
    x = 79,393,991.85/9,446.26
  6. Step 6: Final answer
    x = 8,404.81

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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.