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Finding the Fourth Proportional to 9,271.64, 13,907.50 and 3,115.64

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Solution

The fourth proportional to 9,271.64, 13,907.50 and 3,115.64 is: 4,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.64 : 13,907.50 = 3,115.64 : x
  2. Step 2: Convert to fraction form
    9,271.64/13,907.50 = 3,115.64/x
  3. Step 3: Cross multiply
    9,271.64x = 13,907.50 × 3,115.64
  4. Step 4: Simplify right side
    9,271.64x = 43,330,763.30
  5. Step 5: Solve for x
    x = 43,330,763.30/9,271.64
  6. Step 6: Final answer
    x = 4,673.47

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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.