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Finding the Fourth Proportional to 9,745.13, 14,624.18 and 3,589.13

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Solution

The fourth proportional to 9,745.13, 14,624.18 and 3,589.13 is: 5,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.13 : 14,624.18 = 3,589.13 : x
  2. Step 2: Convert to fraction form
    9,745.13/14,624.18 = 3,589.13/x
  3. Step 3: Cross multiply
    9,745.13x = 14,624.18 × 3,589.13
  4. Step 4: Simplify right side
    9,745.13x = 52,487,992.10
  5. Step 5: Solve for x
    x = 52,487,992.10/9,745.13
  6. Step 6: Final answer
    x = 5,386.08

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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.