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Finding the Fourth Proportional to 9,893.84, 14,839.38 and 2,497.84

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Solution

The fourth proportional to 9,893.84, 14,839.38 and 2,497.84 is: 3,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.84 : 14,839.38 = 2,497.84 : x
  2. Step 2: Convert to fraction form
    9,893.84/14,839.38 = 2,497.84/x
  3. Step 3: Cross multiply
    9,893.84x = 14,839.38 × 2,497.84
  4. Step 4: Simplify right side
    9,893.84x = 37,066,359.84
  5. Step 5: Solve for x
    x = 37,066,359.84/9,893.84
  6. Step 6: Final answer
    x = 3,746.41

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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.