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Finding the Fourth Proportional to 6,322.82, 9,476.55 and 4,474.48

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Solution

The fourth proportional to 6,322.82, 9,476.55 and 4,474.48 is: 6,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.82 : 9,476.55 = 4,474.48 : x
  2. Step 2: Convert to fraction form
    6,322.82/9,476.55 = 4,474.48/x
  3. Step 3: Cross multiply
    6,322.82x = 9,476.55 × 4,474.48
  4. Step 4: Simplify right side
    6,322.82x = 42,402,586.06
  5. Step 5: Solve for x
    x = 42,402,586.06/6,322.82
  6. Step 6: Final answer
    x = 6,706.28

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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.