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Finding the Fourth Proportional to 9,271.61, 13,907.28 and 2,251.67

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Solution

The fourth proportional to 9,271.61, 13,907.28 and 2,251.67 is: 3,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.61 : 13,907.28 = 2,251.67 : x
  2. Step 2: Convert to fraction form
    9,271.61/13,907.28 = 2,251.67/x
  3. Step 3: Cross multiply
    9,271.61x = 13,907.28 × 2,251.67
  4. Step 4: Simplify right side
    9,271.61x = 31,314,605.16
  5. Step 5: Solve for x
    x = 31,314,605.16/9,271.61
  6. Step 6: Final answer
    x = 3,377.47

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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.