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Finding the Fourth Proportional to 9,396, 14,084.40 and 4,466.16

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Solution

The fourth proportional to 9,396, 14,084.40 and 4,466.16 is: 6,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 14,084.40 = 4,466.16 : x
  2. Step 2: Convert to fraction form
    9,396/14,084.40 = 4,466.16/x
  3. Step 3: Cross multiply
    9,396x = 14,084.40 × 4,466.16
  4. Step 4: Simplify right side
    9,396x = 62,903,183.90
  5. Step 5: Solve for x
    x = 62,903,183.90/9,396
  6. Step 6: Final answer
    x = 6,694.68

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Why These Related Problems?

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