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Finding the Fourth Proportional to 9,269.36, 13,895.89 and 4,817.65

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Solution

The fourth proportional to 9,269.36, 13,895.89 and 4,817.65 is: 7,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.36 : 13,895.89 = 4,817.65 : x
  2. Step 2: Convert to fraction form
    9,269.36/13,895.89 = 4,817.65/x
  3. Step 3: Cross multiply
    9,269.36x = 13,895.89 × 4,817.65
  4. Step 4: Simplify right side
    9,269.36x = 66,945,534.46
  5. Step 5: Solve for x
    x = 66,945,534.46/9,269.36
  6. Step 6: Final answer
    x = 7,222.24

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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.