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Finding the Fourth Proportional to 9,297.69, 13,947.45 and 3,055.17

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Solution

The fourth proportional to 9,297.69, 13,947.45 and 3,055.17 is: 4,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.69 : 13,947.45 = 3,055.17 : x
  2. Step 2: Convert to fraction form
    9,297.69/13,947.45 = 3,055.17/x
  3. Step 3: Cross multiply
    9,297.69x = 13,947.45 × 3,055.17
  4. Step 4: Simplify right side
    9,297.69x = 42,611,830.82
  5. Step 5: Solve for x
    x = 42,611,830.82/9,297.69
  6. Step 6: Final answer
    x = 4,583.06

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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.