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Finding the Fourth Proportional to 9,136.02, 12,607.74 and 4,944.27

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Solution

The fourth proportional to 9,136.02, 12,607.74 and 4,944.27 is: 6,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.02 : 12,607.74 = 4,944.27 : x
  2. Step 2: Convert to fraction form
    9,136.02/12,607.74 = 4,944.27/x
  3. Step 3: Cross multiply
    9,136.02x = 12,607.74 × 4,944.27
  4. Step 4: Simplify right side
    9,136.02x = 62,336,070.65
  5. Step 5: Solve for x
    x = 62,336,070.65/9,136.02
  6. Step 6: Final answer
    x = 6,823.11

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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.