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Finding the Fourth Proportional to 9,287.69, 13,931.36 and 2,267.75

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Solution

The fourth proportional to 9,287.69, 13,931.36 and 2,267.75 is: 3,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.69 : 13,931.36 = 2,267.75 : x
  2. Step 2: Convert to fraction form
    9,287.69/13,931.36 = 2,267.75/x
  3. Step 3: Cross multiply
    9,287.69x = 13,931.36 × 2,267.75
  4. Step 4: Simplify right side
    9,287.69x = 31,592,830.30
  5. Step 5: Solve for x
    x = 31,592,830.30/9,287.69
  6. Step 6: Final answer
    x = 3,401.58

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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.