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Finding the Fourth Proportional to 9,136.46, 12,608.43 and 5,775.77

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Solution

The fourth proportional to 9,136.46, 12,608.43 and 5,775.77 is: 7,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.46 : 12,608.43 = 5,775.77 : x
  2. Step 2: Convert to fraction form
    9,136.46/12,608.43 = 5,775.77/x
  3. Step 3: Cross multiply
    9,136.46x = 12,608.43 × 5,775.77
  4. Step 4: Simplify right side
    9,136.46x = 72,823,391.74
  5. Step 5: Solve for x
    x = 72,823,391.74/9,136.46
  6. Step 6: Final answer
    x = 7,970.64

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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.