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Finding the Fourth Proportional to 9,940.94, 14,911.71 and 4,098.02

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Solution

The fourth proportional to 9,940.94, 14,911.71 and 4,098.02 is: 6,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.94 : 14,911.71 = 4,098.02 : x
  2. Step 2: Convert to fraction form
    9,940.94/14,911.71 = 4,098.02/x
  3. Step 3: Cross multiply
    9,940.94x = 14,911.71 × 4,098.02
  4. Step 4: Simplify right side
    9,940.94x = 61,108,485.81
  5. Step 5: Solve for x
    x = 61,108,485.81/9,940.94
  6. Step 6: Final answer
    x = 6,147.15

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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.