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Finding the Fourth Proportional to 6,573.32, 9,066.90 and 4,211.72

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Solution

The fourth proportional to 6,573.32, 9,066.90 and 4,211.72 is: 5,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.32 : 9,066.90 = 4,211.72 : x
  2. Step 2: Convert to fraction form
    6,573.32/9,066.90 = 4,211.72/x
  3. Step 3: Cross multiply
    6,573.32x = 9,066.90 × 4,211.72
  4. Step 4: Simplify right side
    6,573.32x = 38,187,244.07
  5. Step 5: Solve for x
    x = 38,187,244.07/6,573.32
  6. Step 6: Final answer
    x = 5,809.43

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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.