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Finding the Fourth Proportional to 9,845.44, 14,751.71 and 6,918.50

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Solution

The fourth proportional to 9,845.44, 14,751.71 and 6,918.50 is: 10,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.44 : 14,751.71 = 6,918.50 : x
  2. Step 2: Convert to fraction form
    9,845.44/14,751.71 = 6,918.50/x
  3. Step 3: Cross multiply
    9,845.44x = 14,751.71 × 6,918.50
  4. Step 4: Simplify right side
    9,845.44x = 102,059,705.64
  5. Step 5: Solve for x
    x = 102,059,705.64/9,845.44
  6. Step 6: Final answer
    x = 10,366.19

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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.