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Finding the Fourth Proportional to 9,838.66, 14,748.36 and 5,446.84

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Solution

The fourth proportional to 9,838.66, 14,748.36 and 5,446.84 is: 8,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.66 : 14,748.36 = 5,446.84 : x
  2. Step 2: Convert to fraction form
    9,838.66/14,748.36 = 5,446.84/x
  3. Step 3: Cross multiply
    9,838.66x = 14,748.36 × 5,446.84
  4. Step 4: Simplify right side
    9,838.66x = 80,331,957.18
  5. Step 5: Solve for x
    x = 80,331,957.18/9,838.66
  6. Step 6: Final answer
    x = 8,164.93

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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.