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Finding the Fourth Proportional to 6,153.70, 9,221.10 and 4,586.35

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Solution

The fourth proportional to 6,153.70, 9,221.10 and 4,586.35 is: 6,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.70 : 9,221.10 = 4,586.35 : x
  2. Step 2: Convert to fraction form
    6,153.70/9,221.10 = 4,586.35/x
  3. Step 3: Cross multiply
    6,153.70x = 9,221.10 × 4,586.35
  4. Step 4: Simplify right side
    6,153.70x = 42,291,191.99
  5. Step 5: Solve for x
    x = 42,291,191.99/6,153.70
  6. Step 6: Final answer
    x = 6,872.48

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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.