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Finding the Fourth Proportional to 9,836.70, 14,745.33 and 4,646.22

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Solution

The fourth proportional to 9,836.70, 14,745.33 and 4,646.22 is: 6,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.70 : 14,745.33 = 4,646.22 : x
  2. Step 2: Convert to fraction form
    9,836.70/14,745.33 = 4,646.22/x
  3. Step 3: Cross multiply
    9,836.70x = 14,745.33 × 4,646.22
  4. Step 4: Simplify right side
    9,836.70x = 68,510,047.15
  5. Step 5: Solve for x
    x = 68,510,047.15/9,836.70
  6. Step 6: Final answer
    x = 6,964.74

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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.