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Finding the Fourth Proportional to 9,196.01, 12,690.38 and 5,419.34

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Solution

The fourth proportional to 9,196.01, 12,690.38 and 5,419.34 is: 7,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.01 : 12,690.38 = 5,419.34 : x
  2. Step 2: Convert to fraction form
    9,196.01/12,690.38 = 5,419.34/x
  3. Step 3: Cross multiply
    9,196.01x = 12,690.38 × 5,419.34
  4. Step 4: Simplify right side
    9,196.01x = 68,773,393.40
  5. Step 5: Solve for x
    x = 68,773,393.40/9,196.01
  6. Step 6: Final answer
    x = 7,478.61

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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.