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Finding the Fourth Proportional to 9,805.42, 14,708.00 and 2,409.94

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Solution

The fourth proportional to 9,805.42, 14,708.00 and 2,409.94 is: 3,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.42 : 14,708.00 = 2,409.94 : x
  2. Step 2: Convert to fraction form
    9,805.42/14,708.00 = 2,409.94/x
  3. Step 3: Cross multiply
    9,805.42x = 14,708.00 × 2,409.94
  4. Step 4: Simplify right side
    9,805.42x = 35,445,412.89
  5. Step 5: Solve for x
    x = 35,445,412.89/9,805.42
  6. Step 6: Final answer
    x = 3,614.88

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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.