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Finding the Fourth Proportional to 9,604.68, 13,259.68 and 6,636.47

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Solution

The fourth proportional to 9,604.68, 13,259.68 and 6,636.47 is: 9,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.68 : 13,259.68 = 6,636.47 : x
  2. Step 2: Convert to fraction form
    9,604.68/13,259.68 = 6,636.47/x
  3. Step 3: Cross multiply
    9,604.68x = 13,259.68 × 6,636.47
  4. Step 4: Simplify right side
    9,604.68x = 87,997,468.53
  5. Step 5: Solve for x
    x = 87,997,468.53/9,604.68
  6. Step 6: Final answer
    x = 9,161.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.