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Finding the Fourth Proportional to 9,795.94, 14,664.75 and 9,446.02

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Solution

The fourth proportional to 9,795.94, 14,664.75 and 9,446.02 is: 14,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.94 : 14,664.75 = 9,446.02 : x
  2. Step 2: Convert to fraction form
    9,795.94/14,664.75 = 9,446.02/x
  3. Step 3: Cross multiply
    9,795.94x = 14,664.75 × 9,446.02
  4. Step 4: Simplify right side
    9,795.94x = 138,523,521.80
  5. Step 5: Solve for x
    x = 138,523,521.80/9,795.94
  6. Step 6: Final answer
    x = 14,140.91

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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.