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Finding the Fourth Proportional to 9,806.94, 14,700.35 and 3,881.46

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Solution

The fourth proportional to 9,806.94, 14,700.35 and 3,881.46 is: 5,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.94 : 14,700.35 = 3,881.46 : x
  2. Step 2: Convert to fraction form
    9,806.94/14,700.35 = 3,881.46/x
  3. Step 3: Cross multiply
    9,806.94x = 14,700.35 × 3,881.46
  4. Step 4: Simplify right side
    9,806.94x = 57,058,801.10
  5. Step 5: Solve for x
    x = 57,058,801.10/9,806.94
  6. Step 6: Final answer
    x = 5,818.21

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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.