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Finding the Fourth Proportional to 9,586.20, 14,385.78 and 3,430.20

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Solution

The fourth proportional to 9,586.20, 14,385.78 and 3,430.20 is: 5,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.20 : 14,385.78 = 3,430.20 : x
  2. Step 2: Convert to fraction form
    9,586.20/14,385.78 = 3,430.20/x
  3. Step 3: Cross multiply
    9,586.20x = 14,385.78 × 3,430.20
  4. Step 4: Simplify right side
    9,586.20x = 49,346,102.56
  5. Step 5: Solve for x
    x = 49,346,102.56/9,586.20
  6. Step 6: Final answer
    x = 5,147.62

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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.