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Finding the Fourth Proportional to 9,486.44, 14,218.14 and 4,861.16

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Solution

The fourth proportional to 9,486.44, 14,218.14 and 4,861.16 is: 7,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.44 : 14,218.14 = 4,861.16 : x
  2. Step 2: Convert to fraction form
    9,486.44/14,218.14 = 4,861.16/x
  3. Step 3: Cross multiply
    9,486.44x = 14,218.14 × 4,861.16
  4. Step 4: Simplify right side
    9,486.44x = 69,116,653.44
  5. Step 5: Solve for x
    x = 69,116,653.44/9,486.44
  6. Step 6: Final answer
    x = 7,285.84

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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.