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Finding the Fourth Proportional to 9,477.82, 13,075.15 and 5,496.62

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Solution

The fourth proportional to 9,477.82, 13,075.15 and 5,496.62 is: 7,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.82 : 13,075.15 = 5,496.62 : x
  2. Step 2: Convert to fraction form
    9,477.82/13,075.15 = 5,496.62/x
  3. Step 3: Cross multiply
    9,477.82x = 13,075.15 × 5,496.62
  4. Step 4: Simplify right side
    9,477.82x = 71,869,144.73
  5. Step 5: Solve for x
    x = 71,869,144.73/9,477.82
  6. Step 6: Final answer
    x = 7,582.88

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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.