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Finding the Fourth Proportional to 9,210.53, 13,806.85 and 3,946.92

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Solution

The fourth proportional to 9,210.53, 13,806.85 and 3,946.92 is: 5,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.53 : 13,806.85 = 3,946.92 : x
  2. Step 2: Convert to fraction form
    9,210.53/13,806.85 = 3,946.92/x
  3. Step 3: Cross multiply
    9,210.53x = 13,806.85 × 3,946.92
  4. Step 4: Simplify right side
    9,210.53x = 54,494,532.40
  5. Step 5: Solve for x
    x = 54,494,532.40/9,210.53
  6. Step 6: Final answer
    x = 5,916.55

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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.