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Finding the Fourth Proportional to 9,416.64, 14,121.72 and 3,574.92

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Solution

The fourth proportional to 9,416.64, 14,121.72 and 3,574.92 is: 5,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.64 : 14,121.72 = 3,574.92 : x
  2. Step 2: Convert to fraction form
    9,416.64/14,121.72 = 3,574.92/x
  3. Step 3: Cross multiply
    9,416.64x = 14,121.72 × 3,574.92
  4. Step 4: Simplify right side
    9,416.64x = 50,484,019.26
  5. Step 5: Solve for x
    x = 50,484,019.26/9,416.64
  6. Step 6: Final answer
    x = 5,361.15

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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.