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Finding the Fourth Proportional to 9,605.16, 14,399.19 and 3,765.84

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Solution

The fourth proportional to 9,605.16, 14,399.19 and 3,765.84 is: 5,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.16 : 14,399.19 = 3,765.84 : x
  2. Step 2: Convert to fraction form
    9,605.16/14,399.19 = 3,765.84/x
  3. Step 3: Cross multiply
    9,605.16x = 14,399.19 × 3,765.84
  4. Step 4: Simplify right side
    9,605.16x = 54,225,045.67
  5. Step 5: Solve for x
    x = 54,225,045.67/9,605.16
  6. Step 6: Final answer
    x = 5,645.41

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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.