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Finding the Fourth Proportional to 7,222.14, 9,966.60 and 4,389.30

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Solution

The fourth proportional to 7,222.14, 9,966.60 and 4,389.30 is: 6,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.14 : 9,966.60 = 4,389.30 : x
  2. Step 2: Convert to fraction form
    7,222.14/9,966.60 = 4,389.30/x
  3. Step 3: Cross multiply
    7,222.14x = 9,966.60 × 4,389.30
  4. Step 4: Simplify right side
    7,222.14x = 43,746,397.38
  5. Step 5: Solve for x
    x = 43,746,397.38/7,222.14
  6. Step 6: Final answer
    x = 6,057.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.