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Finding the Fourth Proportional to 9,606.25, 14,396.82 and 4,922.29

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Solution

The fourth proportional to 9,606.25, 14,396.82 and 4,922.29 is: 7,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.25 : 14,396.82 = 4,922.29 : x
  2. Step 2: Convert to fraction form
    9,606.25/14,396.82 = 4,922.29/x
  3. Step 3: Cross multiply
    9,606.25x = 14,396.82 × 4,922.29
  4. Step 4: Simplify right side
    9,606.25x = 70,865,323.12
  5. Step 5: Solve for x
    x = 70,865,323.12/9,606.25
  6. Step 6: Final answer
    x = 7,377.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.