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Finding the Fourth Proportional to 9,599.72, 13,247.89 and 5,620.46

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Solution

The fourth proportional to 9,599.72, 13,247.89 and 5,620.46 is: 7,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.72 : 13,247.89 = 5,620.46 : x
  2. Step 2: Convert to fraction form
    9,599.72/13,247.89 = 5,620.46/x
  3. Step 3: Cross multiply
    9,599.72x = 13,247.89 × 5,620.46
  4. Step 4: Simplify right side
    9,599.72x = 74,459,155.54
  5. Step 5: Solve for x
    x = 74,459,155.54/9,599.72
  6. Step 6: Final answer
    x = 7,756.39

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Why These Related Problems?

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