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Finding the Fourth Proportional to 9,136.92, 13,696.08 and 4,210.20

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Solution

The fourth proportional to 9,136.92, 13,696.08 and 4,210.20 is: 6,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.92 : 13,696.08 = 4,210.20 : x
  2. Step 2: Convert to fraction form
    9,136.92/13,696.08 = 4,210.20/x
  3. Step 3: Cross multiply
    9,136.92x = 13,696.08 × 4,210.20
  4. Step 4: Simplify right side
    9,136.92x = 57,663,236.02
  5. Step 5: Solve for x
    x = 57,663,236.02/9,136.92
  6. Step 6: Final answer
    x = 6,311.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.