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Finding the Fourth Proportional to 9,807.57, 14,713.17 and 3,234.01

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Solution

The fourth proportional to 9,807.57, 14,713.17 and 3,234.01 is: 4,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.57 : 14,713.17 = 3,234.01 : x
  2. Step 2: Convert to fraction form
    9,807.57/14,713.17 = 3,234.01/x
  3. Step 3: Cross multiply
    9,807.57x = 14,713.17 × 3,234.01
  4. Step 4: Simplify right side
    9,807.57x = 47,582,538.91
  5. Step 5: Solve for x
    x = 47,582,538.91/9,807.57
  6. Step 6: Final answer
    x = 4,851.61

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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.