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Finding the Fourth Proportional to 9,986.94, 13,782.01 and 5,510.74

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Solution

The fourth proportional to 9,986.94, 13,782.01 and 5,510.74 is: 7,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.94 : 13,782.01 = 5,510.74 : x
  2. Step 2: Convert to fraction form
    9,986.94/13,782.01 = 5,510.74/x
  3. Step 3: Cross multiply
    9,986.94x = 13,782.01 × 5,510.74
  4. Step 4: Simplify right side
    9,986.94x = 75,949,073.79
  5. Step 5: Solve for x
    x = 75,949,073.79/9,986.94
  6. Step 6: Final answer
    x = 7,604.84

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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.