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Finding the Fourth Proportional to 7,080.78, 9,771.60 and 3,894.42

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Solution

The fourth proportional to 7,080.78, 9,771.60 and 3,894.42 is: 5,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.78 : 9,771.60 = 3,894.42 : x
  2. Step 2: Convert to fraction form
    7,080.78/9,771.60 = 3,894.42/x
  3. Step 3: Cross multiply
    7,080.78x = 9,771.60 × 3,894.42
  4. Step 4: Simplify right side
    7,080.78x = 38,054,714.47
  5. Step 5: Solve for x
    x = 38,054,714.47/7,080.78
  6. Step 6: Final answer
    x = 5,374.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.