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Finding the Fourth Proportional to 9,940.71, 13,717.32 and 5,852.08

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Solution

The fourth proportional to 9,940.71, 13,717.32 and 5,852.08 is: 8,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.71 : 13,717.32 = 5,852.08 : x
  2. Step 2: Convert to fraction form
    9,940.71/13,717.32 = 5,852.08/x
  3. Step 3: Cross multiply
    9,940.71x = 13,717.32 × 5,852.08
  4. Step 4: Simplify right side
    9,940.71x = 80,274,854.03
  5. Step 5: Solve for x
    x = 80,274,854.03/9,940.71
  6. Step 6: Final answer
    x = 8,075.36

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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.