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Finding the Fourth Proportional to 7,080.84, 9,771.50 and 3,937

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Solution

The fourth proportional to 7,080.84, 9,771.50 and 3,937 is: 5,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.84 : 9,771.50 = 3,937 : x
  2. Step 2: Convert to fraction form
    7,080.84/9,771.50 = 3,937/x
  3. Step 3: Cross multiply
    7,080.84x = 9,771.50 × 3,937
  4. Step 4: Simplify right side
    7,080.84x = 38,470,395.50
  5. Step 5: Solve for x
    x = 38,470,395.50/7,080.84
  6. Step 6: Final answer
    x = 5,433.03

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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.