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Finding the Fourth Proportional to 9,681.88, 14,516.97 and 4,344.09

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Solution

The fourth proportional to 9,681.88, 14,516.97 and 4,344.09 is: 6,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.88 : 14,516.97 = 4,344.09 : x
  2. Step 2: Convert to fraction form
    9,681.88/14,516.97 = 4,344.09/x
  3. Step 3: Cross multiply
    9,681.88x = 14,516.97 × 4,344.09
  4. Step 4: Simplify right side
    9,681.88x = 63,063,024.21
  5. Step 5: Solve for x
    x = 63,063,024.21/9,681.88
  6. Step 6: Final answer
    x = 6,513.51

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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.