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Finding the Fourth Proportional to 9,407.80, 14,105.04 and 4,724.44

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Solution

The fourth proportional to 9,407.80, 14,105.04 and 4,724.44 is: 7,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.80 : 14,105.04 = 4,724.44 : x
  2. Step 2: Convert to fraction form
    9,407.80/14,105.04 = 4,724.44/x
  3. Step 3: Cross multiply
    9,407.80x = 14,105.04 × 4,724.44
  4. Step 4: Simplify right side
    9,407.80x = 66,638,415.18
  5. Step 5: Solve for x
    x = 66,638,415.18/9,407.80
  6. Step 6: Final answer
    x = 7,083.32

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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.