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Finding the Fourth Proportional to 6,483.84, 9,716.63 and 3,706.35

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Solution

The fourth proportional to 6,483.84, 9,716.63 and 3,706.35 is: 5,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.84 : 9,716.63 = 3,706.35 : x
  2. Step 2: Convert to fraction form
    6,483.84/9,716.63 = 3,706.35/x
  3. Step 3: Cross multiply
    6,483.84x = 9,716.63 × 3,706.35
  4. Step 4: Simplify right side
    6,483.84x = 36,013,213.07
  5. Step 5: Solve for x
    x = 36,013,213.07/6,483.84
  6. Step 6: Final answer
    x = 5,554.30

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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.