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Finding the Fourth Proportional to 9,075.96, 13,595.70 and 4,138.80

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Solution

The fourth proportional to 9,075.96, 13,595.70 and 4,138.80 is: 6,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.96 : 13,595.70 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    9,075.96/13,595.70 = 4,138.80/x
  3. Step 3: Cross multiply
    9,075.96x = 13,595.70 × 4,138.80
  4. Step 4: Simplify right side
    9,075.96x = 56,269,883.16
  5. Step 5: Solve for x
    x = 56,269,883.16/9,075.96
  6. Step 6: Final answer
    x = 6,199.88

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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.