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Finding the Fourth Proportional to 9,803.66, 14,691.20 and 4,540.28

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Solution

The fourth proportional to 9,803.66, 14,691.20 and 4,540.28 is: 6,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.66 : 14,691.20 = 4,540.28 : x
  2. Step 2: Convert to fraction form
    9,803.66/14,691.20 = 4,540.28/x
  3. Step 3: Cross multiply
    9,803.66x = 14,691.20 × 4,540.28
  4. Step 4: Simplify right side
    9,803.66x = 66,702,065.38
  5. Step 5: Solve for x
    x = 66,702,065.38/9,803.66
  6. Step 6: Final answer
    x = 6,803.80

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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.