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Finding the Fourth Proportional to 9,552.68, 14,333.32 and 5,165

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Solution

The fourth proportional to 9,552.68, 14,333.32 and 5,165 is: 7,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.68 : 14,333.32 = 5,165 : x
  2. Step 2: Convert to fraction form
    9,552.68/14,333.32 = 5,165/x
  3. Step 3: Cross multiply
    9,552.68x = 14,333.32 × 5,165
  4. Step 4: Simplify right side
    9,552.68x = 74,031,597.80
  5. Step 5: Solve for x
    x = 74,031,597.80/9,552.68
  6. Step 6: Final answer
    x = 7,749.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.