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Finding the Fourth Proportional to 9,226.40, 13,844.40 and 4,032.80

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Solution

The fourth proportional to 9,226.40, 13,844.40 and 4,032.80 is: 6,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.40 : 13,844.40 = 4,032.80 : x
  2. Step 2: Convert to fraction form
    9,226.40/13,844.40 = 4,032.80/x
  3. Step 3: Cross multiply
    9,226.40x = 13,844.40 × 4,032.80
  4. Step 4: Simplify right side
    9,226.40x = 55,831,696.32
  5. Step 5: Solve for x
    x = 55,831,696.32/9,226.40
  6. Step 6: Final answer
    x = 6,051.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.