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Finding the Fourth Proportional to 9,807.88, 14,707.20 and 3,563.49

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Solution

The fourth proportional to 9,807.88, 14,707.20 and 3,563.49 is: 5,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.88 : 14,707.20 = 3,563.49 : x
  2. Step 2: Convert to fraction form
    9,807.88/14,707.20 = 3,563.49/x
  3. Step 3: Cross multiply
    9,807.88x = 14,707.20 × 3,563.49
  4. Step 4: Simplify right side
    9,807.88x = 52,408,960.13
  5. Step 5: Solve for x
    x = 52,408,960.13/9,807.88
  6. Step 6: Final answer
    x = 5,343.56

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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.