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Finding the Fourth Proportional to 9,486.65, 14,231.79 and 2,911.70

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Solution

The fourth proportional to 9,486.65, 14,231.79 and 2,911.70 is: 4,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.65 : 14,231.79 = 2,911.70 : x
  2. Step 2: Convert to fraction form
    9,486.65/14,231.79 = 2,911.70/x
  3. Step 3: Cross multiply
    9,486.65x = 14,231.79 × 2,911.70
  4. Step 4: Simplify right side
    9,486.65x = 41,438,631.78
  5. Step 5: Solve for x
    x = 41,438,631.78/9,486.65
  6. Step 6: Final answer
    x = 4,368.10

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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.