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Finding the Fourth Proportional to 10,201.29, 14,075.91 and 6,848.97

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Solution

The fourth proportional to 10,201.29, 14,075.91 and 6,848.97 is: 9,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.29 : 14,075.91 = 6,848.97 : x
  2. Step 2: Convert to fraction form
    10,201.29/14,075.91 = 6,848.97/x
  3. Step 3: Cross multiply
    10,201.29x = 14,075.91 × 6,848.97
  4. Step 4: Simplify right side
    10,201.29x = 96,405,485.31
  5. Step 5: Solve for x
    x = 96,405,485.31/10,201.29
  6. Step 6: Final answer
    x = 9,450.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.