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Finding the Fourth Proportional to 9,136.21, 12,607.95 and 4,944.46

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Solution

The fourth proportional to 9,136.21, 12,607.95 and 4,944.46 is: 6,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.21 : 12,607.95 = 4,944.46 : x
  2. Step 2: Convert to fraction form
    9,136.21/12,607.95 = 4,944.46/x
  3. Step 3: Cross multiply
    9,136.21x = 12,607.95 × 4,944.46
  4. Step 4: Simplify right side
    9,136.21x = 62,339,479.73
  5. Step 5: Solve for x
    x = 62,339,479.73/9,136.21
  6. Step 6: Final answer
    x = 6,823.34

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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.