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Finding the Fourth Proportional to 9,606.13, 14,396.63 and 4,922.17

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Solution

The fourth proportional to 9,606.13, 14,396.63 and 4,922.17 is: 7,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.13 : 14,396.63 = 4,922.17 : x
  2. Step 2: Convert to fraction form
    9,606.13/14,396.63 = 4,922.17/x
  3. Step 3: Cross multiply
    9,606.13x = 14,396.63 × 4,922.17
  4. Step 4: Simplify right side
    9,606.13x = 70,862,588.30
  5. Step 5: Solve for x
    x = 70,862,588.30/9,606.13
  6. Step 6: Final answer
    x = 7,376.81

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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.