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Finding the Fourth Proportional to 9,773.70, 14,656.44 and 3,196.26

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Solution

The fourth proportional to 9,773.70, 14,656.44 and 3,196.26 is: 4,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.70 : 14,656.44 = 3,196.26 : x
  2. Step 2: Convert to fraction form
    9,773.70/14,656.44 = 3,196.26/x
  3. Step 3: Cross multiply
    9,773.70x = 14,656.44 × 3,196.26
  4. Step 4: Simplify right side
    9,773.70x = 46,845,792.91
  5. Step 5: Solve for x
    x = 46,845,792.91/9,773.70
  6. Step 6: Final answer
    x = 4,793.05

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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.