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Finding the Fourth Proportional to 9,795.68, 14,694.69 and 4,600.34

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Solution

The fourth proportional to 9,795.68, 14,694.69 and 4,600.34 is: 6,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.68 : 14,694.69 = 4,600.34 : x
  2. Step 2: Convert to fraction form
    9,795.68/14,694.69 = 4,600.34/x
  3. Step 3: Cross multiply
    9,795.68x = 14,694.69 × 4,600.34
  4. Step 4: Simplify right side
    9,795.68x = 67,600,570.19
  5. Step 5: Solve for x
    x = 67,600,570.19/9,795.68
  6. Step 6: Final answer
    x = 6,901.06

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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.