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Finding the Fourth Proportional to 9,697.44, 14,551.70 and 3,773.54

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Solution

The fourth proportional to 9,697.44, 14,551.70 and 3,773.54 is: 5,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.44 : 14,551.70 = 3,773.54 : x
  2. Step 2: Convert to fraction form
    9,697.44/14,551.70 = 3,773.54/x
  3. Step 3: Cross multiply
    9,697.44x = 14,551.70 × 3,773.54
  4. Step 4: Simplify right side
    9,697.44x = 54,911,422.02
  5. Step 5: Solve for x
    x = 54,911,422.02/9,697.44
  6. Step 6: Final answer
    x = 5,662.47

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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.