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Finding the Fourth Proportional to 9,496.84, 13,106.47 and 6,304.49

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Solution

The fourth proportional to 9,496.84, 13,106.47 and 6,304.49 is: 8,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.84 : 13,106.47 = 6,304.49 : x
  2. Step 2: Convert to fraction form
    9,496.84/13,106.47 = 6,304.49/x
  3. Step 3: Cross multiply
    9,496.84x = 13,106.47 × 6,304.49
  4. Step 4: Simplify right side
    9,496.84x = 82,629,626.06
  5. Step 5: Solve for x
    x = 82,629,626.06/9,496.84
  6. Step 6: Final answer
    x = 8,700.75

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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.