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Finding the Fourth Proportional to 9,844.44, 14,750.21 and 6,917.50

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Solution

The fourth proportional to 9,844.44, 14,750.21 and 6,917.50 is: 10,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.44 : 14,750.21 = 6,917.50 : x
  2. Step 2: Convert to fraction form
    9,844.44/14,750.21 = 6,917.50/x
  3. Step 3: Cross multiply
    9,844.44x = 14,750.21 × 6,917.50
  4. Step 4: Simplify right side
    9,844.44x = 102,034,577.68
  5. Step 5: Solve for x
    x = 102,034,577.68/9,844.44
  6. Step 6: Final answer
    x = 10,364.70

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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.