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Finding the Fourth Proportional to 9,896.10, 13,660.80 and 9,629.55

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Solution

The fourth proportional to 9,896.10, 13,660.80 and 9,629.55 is: 13,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.10 : 13,660.80 = 9,629.55 : x
  2. Step 2: Convert to fraction form
    9,896.10/13,660.80 = 9,629.55/x
  3. Step 3: Cross multiply
    9,896.10x = 13,660.80 × 9,629.55
  4. Step 4: Simplify right side
    9,896.10x = 131,547,356.64
  5. Step 5: Solve for x
    x = 131,547,356.64/9,896.10
  6. Step 6: Final answer
    x = 13,292.85

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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.