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Finding the Fourth Proportional to 9,807.55, 14,717.58 and 3,566.97

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Solution

The fourth proportional to 9,807.55, 14,717.58 and 3,566.97 is: 5,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.55 : 14,717.58 = 3,566.97 : x
  2. Step 2: Convert to fraction form
    9,807.55/14,717.58 = 3,566.97/x
  3. Step 3: Cross multiply
    9,807.55x = 14,717.58 × 3,566.97
  4. Step 4: Simplify right side
    9,807.55x = 52,497,166.33
  5. Step 5: Solve for x
    x = 52,497,166.33/9,807.55
  6. Step 6: Final answer
    x = 5,352.73

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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.