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Finding the Fourth Proportional to 9,356.62, 12,907.73 and 5,577.63

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Solution

The fourth proportional to 9,356.62, 12,907.73 and 5,577.63 is: 7,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.62 : 12,907.73 = 5,577.63 : x
  2. Step 2: Convert to fraction form
    9,356.62/12,907.73 = 5,577.63/x
  3. Step 3: Cross multiply
    9,356.62x = 12,907.73 × 5,577.63
  4. Step 4: Simplify right side
    9,356.62x = 71,994,556.02
  5. Step 5: Solve for x
    x = 71,994,556.02/9,356.62
  6. Step 6: Final answer
    x = 7,694.51

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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.