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Finding the Fourth Proportional to 9,718.43, 14,574.06 and 3,476.75

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Solution

The fourth proportional to 9,718.43, 14,574.06 and 3,476.75 is: 5,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.43 : 14,574.06 = 3,476.75 : x
  2. Step 2: Convert to fraction form
    9,718.43/14,574.06 = 3,476.75/x
  3. Step 3: Cross multiply
    9,718.43x = 14,574.06 × 3,476.75
  4. Step 4: Simplify right side
    9,718.43x = 50,670,290.23
  5. Step 5: Solve for x
    x = 50,670,290.23/9,718.43
  6. Step 6: Final answer
    x = 5,213.84

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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.