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Finding the Fourth Proportional to 9,597.66, 14,399.09 and 2,933.98

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Solution

The fourth proportional to 9,597.66, 14,399.09 and 2,933.98 is: 4,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.66 : 14,399.09 = 2,933.98 : x
  2. Step 2: Convert to fraction form
    9,597.66/14,399.09 = 2,933.98/x
  3. Step 3: Cross multiply
    9,597.66x = 14,399.09 × 2,933.98
  4. Step 4: Simplify right side
    9,597.66x = 42,246,602.41
  5. Step 5: Solve for x
    x = 42,246,602.41/9,597.66
  6. Step 6: Final answer
    x = 4,401.76

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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.