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Finding the Fourth Proportional to 9,105.95, 13,668.64 and 3,915.47

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Solution

The fourth proportional to 9,105.95, 13,668.64 and 3,915.47 is: 5,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.95 : 13,668.64 = 3,915.47 : x
  2. Step 2: Convert to fraction form
    9,105.95/13,668.64 = 3,915.47/x
  3. Step 3: Cross multiply
    9,105.95x = 13,668.64 × 3,915.47
  4. Step 4: Simplify right side
    9,105.95x = 53,519,149.86
  5. Step 5: Solve for x
    x = 53,519,149.86/9,105.95
  6. Step 6: Final answer
    x = 5,877.38

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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.