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Finding the Fourth Proportional to 9,225.36, 13,845.41 and 4,784.29

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Solution

The fourth proportional to 9,225.36, 13,845.41 and 4,784.29 is: 7,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.36 : 13,845.41 = 4,784.29 : x
  2. Step 2: Convert to fraction form
    9,225.36/13,845.41 = 4,784.29/x
  3. Step 3: Cross multiply
    9,225.36x = 13,845.41 × 4,784.29
  4. Step 4: Simplify right side
    9,225.36x = 66,240,456.61
  5. Step 5: Solve for x
    x = 66,240,456.61/9,225.36
  6. Step 6: Final answer
    x = 7,180.26

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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.