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Finding the Fourth Proportional to 9,586.58, 14,377.71 and 3,740.18

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Solution

The fourth proportional to 9,586.58, 14,377.71 and 3,740.18 is: 5,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.58 : 14,377.71 = 3,740.18 : x
  2. Step 2: Convert to fraction form
    9,586.58/14,377.71 = 3,740.18/x
  3. Step 3: Cross multiply
    9,586.58x = 14,377.71 × 3,740.18
  4. Step 4: Simplify right side
    9,586.58x = 53,775,223.39
  5. Step 5: Solve for x
    x = 53,775,223.39/9,586.58
  6. Step 6: Final answer
    x = 5,609.43

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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.