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Finding the Fourth Proportional to 9,647.61, 14,462.19 and 3,720.17

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Solution

The fourth proportional to 9,647.61, 14,462.19 and 3,720.17 is: 5,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.61 : 14,462.19 = 3,720.17 : x
  2. Step 2: Convert to fraction form
    9,647.61/14,462.19 = 3,720.17/x
  3. Step 3: Cross multiply
    9,647.61x = 14,462.19 × 3,720.17
  4. Step 4: Simplify right side
    9,647.61x = 53,801,733.06
  5. Step 5: Solve for x
    x = 53,801,733.06/9,647.61
  6. Step 6: Final answer
    x = 5,576.69

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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.