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Finding the Fourth Proportional to 9,894.81, 14,842.21 and 3,321.16

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Solution

The fourth proportional to 9,894.81, 14,842.21 and 3,321.16 is: 4,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.81 : 14,842.21 = 3,321.16 : x
  2. Step 2: Convert to fraction form
    9,894.81/14,842.21 = 3,321.16/x
  3. Step 3: Cross multiply
    9,894.81x = 14,842.21 × 3,321.16
  4. Step 4: Simplify right side
    9,894.81x = 49,293,428.68
  5. Step 5: Solve for x
    x = 49,293,428.68/9,894.81
  6. Step 6: Final answer
    x = 4,981.75

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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.