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Finding the Fourth Proportional to 9,840.73, 14,746.78 and 6,084.49

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Solution

The fourth proportional to 9,840.73, 14,746.78 and 6,084.49 is: 9,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.73 : 14,746.78 = 6,084.49 : x
  2. Step 2: Convert to fraction form
    9,840.73/14,746.78 = 6,084.49/x
  3. Step 3: Cross multiply
    9,840.73x = 14,746.78 × 6,084.49
  4. Step 4: Simplify right side
    9,840.73x = 89,726,635.44
  5. Step 5: Solve for x
    x = 89,726,635.44/9,840.73
  6. Step 6: Final answer
    x = 9,117.88

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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.