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Finding the Fourth Proportional to 9,796.64, 14,697.45 and 4,535.43

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Solution

The fourth proportional to 9,796.64, 14,697.45 and 4,535.43 is: 6,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.64 : 14,697.45 = 4,535.43 : x
  2. Step 2: Convert to fraction form
    9,796.64/14,697.45 = 4,535.43/x
  3. Step 3: Cross multiply
    9,796.64x = 14,697.45 × 4,535.43
  4. Step 4: Simplify right side
    9,796.64x = 66,659,232.98
  5. Step 5: Solve for x
    x = 66,659,232.98/9,796.64
  6. Step 6: Final answer
    x = 6,804.30

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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.