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Finding the Fourth Proportional to 9,325.84, 13,990.49 and 3,085.90

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Solution

The fourth proportional to 9,325.84, 13,990.49 and 3,085.90 is: 4,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.84 : 13,990.49 = 3,085.90 : x
  2. Step 2: Convert to fraction form
    9,325.84/13,990.49 = 3,085.90/x
  3. Step 3: Cross multiply
    9,325.84x = 13,990.49 × 3,085.90
  4. Step 4: Simplify right side
    9,325.84x = 43,173,304.64
  5. Step 5: Solve for x
    x = 43,173,304.64/9,325.84
  6. Step 6: Final answer
    x = 4,629.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.