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Finding the Fourth Proportional to 9,265.68, 13,899.62 and 5,803.20

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Solution

The fourth proportional to 9,265.68, 13,899.62 and 5,803.20 is: 8,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.68 : 13,899.62 = 5,803.20 : x
  2. Step 2: Convert to fraction form
    9,265.68/13,899.62 = 5,803.20/x
  3. Step 3: Cross multiply
    9,265.68x = 13,899.62 × 5,803.20
  4. Step 4: Simplify right side
    9,265.68x = 80,662,274.78
  5. Step 5: Solve for x
    x = 80,662,274.78/9,265.68
  6. Step 6: Final answer
    x = 8,705.49

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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.