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Finding the Fourth Proportional to 7,223.09, 9,966.65 and 4,389.98

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Solution

The fourth proportional to 7,223.09, 9,966.65 and 4,389.98 is: 6,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.09 : 9,966.65 = 4,389.98 : x
  2. Step 2: Convert to fraction form
    7,223.09/9,966.65 = 4,389.98/x
  3. Step 3: Cross multiply
    7,223.09x = 9,966.65 × 4,389.98
  4. Step 4: Simplify right side
    7,223.09x = 43,753,322.38
  5. Step 5: Solve for x
    x = 43,753,322.38/7,223.09
  6. Step 6: Final answer
    x = 6,057.43

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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.