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Finding the Fourth Proportional to 9,774.56, 14,661.71 and 2,379.03

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Solution

The fourth proportional to 9,774.56, 14,661.71 and 2,379.03 is: 3,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.56 : 14,661.71 = 2,379.03 : x
  2. Step 2: Convert to fraction form
    9,774.56/14,661.71 = 2,379.03/x
  3. Step 3: Cross multiply
    9,774.56x = 14,661.71 × 2,379.03
  4. Step 4: Simplify right side
    9,774.56x = 34,880,647.94
  5. Step 5: Solve for x
    x = 34,880,647.94/9,774.56
  6. Step 6: Final answer
    x = 3,568.51

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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.