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Finding the Fourth Proportional to 10,201.30, 14,075.90 and 6,848.98

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Solution

The fourth proportional to 10,201.30, 14,075.90 and 6,848.98 is: 9,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.30 : 14,075.90 = 6,848.98 : x
  2. Step 2: Convert to fraction form
    10,201.30/14,075.90 = 6,848.98/x
  3. Step 3: Cross multiply
    10,201.30x = 14,075.90 × 6,848.98
  4. Step 4: Simplify right side
    10,201.30x = 96,405,557.58
  5. Step 5: Solve for x
    x = 96,405,557.58/10,201.30
  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.