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Finding the Fourth Proportional to 9,247, 13,870.50 and 3,091

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Solution

The fourth proportional to 9,247, 13,870.50 and 3,091 is: 4,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247 : 13,870.50 = 3,091 : x
  2. Step 2: Convert to fraction form
    9,247/13,870.50 = 3,091/x
  3. Step 3: Cross multiply
    9,247x = 13,870.50 × 3,091
  4. Step 4: Simplify right side
    9,247x = 42,873,715.50
  5. Step 5: Solve for x
    x = 42,873,715.50/9,247
  6. Step 6: Final answer
    x = 4,636.50

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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.