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Finding the Fourth Proportional to 9,597.49, 14,398.12 and 3,359.27

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Solution

The fourth proportional to 9,597.49, 14,398.12 and 3,359.27 is: 5,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.49 : 14,398.12 = 3,359.27 : x
  2. Step 2: Convert to fraction form
    9,597.49/14,398.12 = 3,359.27/x
  3. Step 3: Cross multiply
    9,597.49x = 14,398.12 × 3,359.27
  4. Step 4: Simplify right side
    9,597.49x = 48,367,164.17
  5. Step 5: Solve for x
    x = 48,367,164.17/9,597.49
  6. Step 6: Final answer
    x = 5,039.57

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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.