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Finding the Fourth Proportional to 6,402.64, 9,597.37 and 4,643.25

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Solution

The fourth proportional to 6,402.64, 9,597.37 and 4,643.25 is: 6,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.64 : 9,597.37 = 4,643.25 : x
  2. Step 2: Convert to fraction form
    6,402.64/9,597.37 = 4,643.25/x
  3. Step 3: Cross multiply
    6,402.64x = 9,597.37 × 4,643.25
  4. Step 4: Simplify right side
    6,402.64x = 44,562,917.05
  5. Step 5: Solve for x
    x = 44,562,917.05/6,402.64
  6. Step 6: Final answer
    x = 6,960.09

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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.