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Finding the Fourth Proportional to 9,625.90, 14,427.89 and 4,075.78

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Solution

The fourth proportional to 9,625.90, 14,427.89 and 4,075.78 is: 6,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.90 : 14,427.89 = 4,075.78 : x
  2. Step 2: Convert to fraction form
    9,625.90/14,427.89 = 4,075.78/x
  3. Step 3: Cross multiply
    9,625.90x = 14,427.89 × 4,075.78
  4. Step 4: Simplify right side
    9,625.90x = 58,804,905.50
  5. Step 5: Solve for x
    x = 58,804,905.50/9,625.90
  6. Step 6: Final answer
    x = 6,109.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.