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Finding the Fourth Proportional to 9,844.12, 14,763.66 and 2,917

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Solution

The fourth proportional to 9,844.12, 14,763.66 and 2,917 is: 4,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.12 : 14,763.66 = 2,917 : x
  2. Step 2: Convert to fraction form
    9,844.12/14,763.66 = 2,917/x
  3. Step 3: Cross multiply
    9,844.12x = 14,763.66 × 2,917
  4. Step 4: Simplify right side
    9,844.12x = 43,065,596.22
  5. Step 5: Solve for x
    x = 43,065,596.22/9,844.12
  6. Step 6: Final answer
    x = 4,374.75

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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.