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Finding the Fourth Proportional to 9,285.80, 13,941.06 and 5,393

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Solution

The fourth proportional to 9,285.80, 13,941.06 and 5,393 is: 8,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.80 : 13,941.06 = 5,393 : x
  2. Step 2: Convert to fraction form
    9,285.80/13,941.06 = 5,393/x
  3. Step 3: Cross multiply
    9,285.80x = 13,941.06 × 5,393
  4. Step 4: Simplify right side
    9,285.80x = 75,184,136.58
  5. Step 5: Solve for x
    x = 75,184,136.58/9,285.80
  6. Step 6: Final answer
    x = 8,096.68

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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.