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Finding the Fourth Proportional to 7,136.35, 9,849.20 and 4,153.83

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Solution

The fourth proportional to 7,136.35, 9,849.20 and 4,153.83 is: 5,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.35 : 9,849.20 = 4,153.83 : x
  2. Step 2: Convert to fraction form
    7,136.35/9,849.20 = 4,153.83/x
  3. Step 3: Cross multiply
    7,136.35x = 9,849.20 × 4,153.83
  4. Step 4: Simplify right side
    7,136.35x = 40,911,881.67
  5. Step 5: Solve for x
    x = 40,911,881.67/7,136.35
  6. Step 6: Final answer
    x = 5,732.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.