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Finding the Fourth Proportional to 9,804.96, 14,707.43 and 2,409.45

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Solution

The fourth proportional to 9,804.96, 14,707.43 and 2,409.45 is: 3,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.96 : 14,707.43 = 2,409.45 : x
  2. Step 2: Convert to fraction form
    9,804.96/14,707.43 = 2,409.45/x
  3. Step 3: Cross multiply
    9,804.96x = 14,707.43 × 2,409.45
  4. Step 4: Simplify right side
    9,804.96x = 35,436,805.17
  5. Step 5: Solve for x
    x = 35,436,805.17/9,804.96
  6. Step 6: Final answer
    x = 3,614.17

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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.