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Finding the Fourth Proportional to 9,794.26, 14,691.40 and 5,420.26

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Solution

The fourth proportional to 9,794.26, 14,691.40 and 5,420.26 is: 8,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.26 : 14,691.40 = 5,420.26 : x
  2. Step 2: Convert to fraction form
    9,794.26/14,691.40 = 5,420.26/x
  3. Step 3: Cross multiply
    9,794.26x = 14,691.40 × 5,420.26
  4. Step 4: Simplify right side
    9,794.26x = 79,631,207.76
  5. Step 5: Solve for x
    x = 79,631,207.76/9,794.26
  6. Step 6: Final answer
    x = 8,130.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.