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Finding the Fourth Proportional to 9,475.66, 13,075.68 and 5,226.08

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Solution

The fourth proportional to 9,475.66, 13,075.68 and 5,226.08 is: 7,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.66 : 13,075.68 = 5,226.08 : x
  2. Step 2: Convert to fraction form
    9,475.66/13,075.68 = 5,226.08/x
  3. Step 3: Cross multiply
    9,475.66x = 13,075.68 × 5,226.08
  4. Step 4: Simplify right side
    9,475.66x = 68,334,549.73
  5. Step 5: Solve for x
    x = 68,334,549.73/9,475.66
  6. Step 6: Final answer
    x = 7,211.59

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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.