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Finding the Fourth Proportional to 9,738.95, 13,441.50 and 9,295.23

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Solution

The fourth proportional to 9,738.95, 13,441.50 and 9,295.23 is: 12,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.95 : 13,441.50 = 9,295.23 : x
  2. Step 2: Convert to fraction form
    9,738.95/13,441.50 = 9,295.23/x
  3. Step 3: Cross multiply
    9,738.95x = 13,441.50 × 9,295.23
  4. Step 4: Simplify right side
    9,738.95x = 124,941,834.05
  5. Step 5: Solve for x
    x = 124,941,834.05/9,738.95
  6. Step 6: Final answer
    x = 12,829.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.