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Finding the Fourth Proportional to 7,133.84, 9,845.12 and 3,990.24

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Solution

The fourth proportional to 7,133.84, 9,845.12 and 3,990.24 is: 5,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.84 : 9,845.12 = 3,990.24 : x
  2. Step 2: Convert to fraction form
    7,133.84/9,845.12 = 3,990.24/x
  3. Step 3: Cross multiply
    7,133.84x = 9,845.12 × 3,990.24
  4. Step 4: Simplify right side
    7,133.84x = 39,284,391.63
  5. Step 5: Solve for x
    x = 39,284,391.63/7,133.84
  6. Step 6: Final answer
    x = 5,506.77

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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.