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Finding the Fourth Proportional to 9,715.92, 14,570.32 and 3,474.26

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Solution

The fourth proportional to 9,715.92, 14,570.32 and 3,474.26 is: 5,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.92 : 14,570.32 = 3,474.26 : x
  2. Step 2: Convert to fraction form
    9,715.92/14,570.32 = 3,474.26/x
  3. Step 3: Cross multiply
    9,715.92x = 14,570.32 × 3,474.26
  4. Step 4: Simplify right side
    9,715.92x = 50,621,079.96
  5. Step 5: Solve for x
    x = 50,621,079.96/9,715.92
  6. Step 6: Final answer
    x = 5,210.12

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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.