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Finding the Fourth Proportional to 9,612.16, 14,434.74 and 5,238.16

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Solution

The fourth proportional to 9,612.16, 14,434.74 and 5,238.16 is: 7,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.16 : 14,434.74 = 5,238.16 : x
  2. Step 2: Convert to fraction form
    9,612.16/14,434.74 = 5,238.16/x
  3. Step 3: Cross multiply
    9,612.16x = 14,434.74 × 5,238.16
  4. Step 4: Simplify right side
    9,612.16x = 75,611,477.68
  5. Step 5: Solve for x
    x = 75,611,477.68/9,612.16
  6. Step 6: Final answer
    x = 7,866.23

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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.