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Finding the Fourth Proportional to 9,425.16, 14,190.12 and 6,523.20

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Solution

The fourth proportional to 9,425.16, 14,190.12 and 6,523.20 is: 9,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.16 : 14,190.12 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    9,425.16/14,190.12 = 6,523.20/x
  3. Step 3: Cross multiply
    9,425.16x = 14,190.12 × 6,523.20
  4. Step 4: Simplify right side
    9,425.16x = 92,564,990.78
  5. Step 5: Solve for x
    x = 92,564,990.78/9,425.16
  6. Step 6: Final answer
    x = 9,821.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.