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Finding the Fourth Proportional to 9,844.70, 14,762.61 and 2,823.11

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Solution

The fourth proportional to 9,844.70, 14,762.61 and 2,823.11 is: 4,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.70 : 14,762.61 = 2,823.11 : x
  2. Step 2: Convert to fraction form
    9,844.70/14,762.61 = 2,823.11/x
  3. Step 3: Cross multiply
    9,844.70x = 14,762.61 × 2,823.11
  4. Step 4: Simplify right side
    9,844.70x = 41,676,471.92
  5. Step 5: Solve for x
    x = 41,676,471.92/9,844.70
  6. Step 6: Final answer
    x = 4,233.39

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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.