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Finding the Fourth Proportional to 9,075.20, 13,625.60 and 7,129.60

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Solution

The fourth proportional to 9,075.20, 13,625.60 and 7,129.60 is: 10,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.20 : 13,625.60 = 7,129.60 : x
  2. Step 2: Convert to fraction form
    9,075.20/13,625.60 = 7,129.60/x
  3. Step 3: Cross multiply
    9,075.20x = 13,625.60 × 7,129.60
  4. Step 4: Simplify right side
    9,075.20x = 97,145,077.76
  5. Step 5: Solve for x
    x = 97,145,077.76/9,075.20
  6. Step 6: Final answer
    x = 10,704.46

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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.