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Finding the Fourth Proportional to 9,475.05, 13,075.25 and 5,226.20

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Solution

The fourth proportional to 9,475.05, 13,075.25 and 5,226.20 is: 7,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.05 : 13,075.25 = 5,226.20 : x
  2. Step 2: Convert to fraction form
    9,475.05/13,075.25 = 5,226.20/x
  3. Step 3: Cross multiply
    9,475.05x = 13,075.25 × 5,226.20
  4. Step 4: Simplify right side
    9,475.05x = 68,333,871.55
  5. Step 5: Solve for x
    x = 68,333,871.55/9,475.05
  6. Step 6: Final answer
    x = 7,211.98

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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.