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Finding the Fourth Proportional to 9,586.96, 14,381.06 and 3,013.42

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Solution

The fourth proportional to 9,586.96, 14,381.06 and 3,013.42 is: 4,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.96 : 14,381.06 = 3,013.42 : x
  2. Step 2: Convert to fraction form
    9,586.96/14,381.06 = 3,013.42/x
  3. Step 3: Cross multiply
    9,586.96x = 14,381.06 × 3,013.42
  4. Step 4: Simplify right side
    9,586.96x = 43,336,173.83
  5. Step 5: Solve for x
    x = 43,336,173.83/9,586.96
  6. Step 6: Final answer
    x = 4,520.32

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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.