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Finding the Fourth Proportional to 6,213.60, 9,317.17 and 1,830.48

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Solution

The fourth proportional to 6,213.60, 9,317.17 and 1,830.48 is: 2,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.60 : 9,317.17 = 1,830.48 : x
  2. Step 2: Convert to fraction form
    6,213.60/9,317.17 = 1,830.48/x
  3. Step 3: Cross multiply
    6,213.60x = 9,317.17 × 1,830.48
  4. Step 4: Simplify right side
    6,213.60x = 17,054,893.34
  5. Step 5: Solve for x
    x = 17,054,893.34/6,213.60
  6. Step 6: Final answer
    x = 2,744.77

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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.