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Finding the Fourth Proportional to 9,136.16, 12,607.90 and 4,944.41

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Solution

The fourth proportional to 9,136.16, 12,607.90 and 4,944.41 is: 6,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.16 : 12,607.90 = 4,944.41 : x
  2. Step 2: Convert to fraction form
    9,136.16/12,607.90 = 4,944.41/x
  3. Step 3: Cross multiply
    9,136.16x = 12,607.90 × 4,944.41
  4. Step 4: Simplify right side
    9,136.16x = 62,338,602.12
  5. Step 5: Solve for x
    x = 62,338,602.12/9,136.16
  6. Step 6: Final answer
    x = 6,823.28

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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.