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Finding the Fourth Proportional to 9,935.84, 14,906.88 and 4,095.20

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Solution

The fourth proportional to 9,935.84, 14,906.88 and 4,095.20 is: 6,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.84 : 14,906.88 = 4,095.20 : x
  2. Step 2: Convert to fraction form
    9,935.84/14,906.88 = 4,095.20/x
  3. Step 3: Cross multiply
    9,935.84x = 14,906.88 × 4,095.20
  4. Step 4: Simplify right side
    9,935.84x = 61,046,654.98
  5. Step 5: Solve for x
    x = 61,046,654.98/9,935.84
  6. Step 6: Final answer
    x = 6,144.09

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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.