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Finding the Fourth Proportional to 9,225.06, 12,730.86 and 5,245.44

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Solution

The fourth proportional to 9,225.06, 12,730.86 and 5,245.44 is: 7,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.06 : 12,730.86 = 5,245.44 : x
  2. Step 2: Convert to fraction form
    9,225.06/12,730.86 = 5,245.44/x
  3. Step 3: Cross multiply
    9,225.06x = 12,730.86 × 5,245.44
  4. Step 4: Simplify right side
    9,225.06x = 66,778,962.28
  5. Step 5: Solve for x
    x = 66,778,962.28/9,225.06
  6. Step 6: Final answer
    x = 7,238.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.