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Finding the Fourth Proportional to 9,243.86, 12,749.06 and 5,885.60

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Solution

The fourth proportional to 9,243.86, 12,749.06 and 5,885.60 is: 8,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.86 : 12,749.06 = 5,885.60 : x
  2. Step 2: Convert to fraction form
    9,243.86/12,749.06 = 5,885.60/x
  3. Step 3: Cross multiply
    9,243.86x = 12,749.06 × 5,885.60
  4. Step 4: Simplify right side
    9,243.86x = 75,035,818.50
  5. Step 5: Solve for x
    x = 75,035,818.50/9,243.86
  6. Step 6: Final answer
    x = 8,117.37

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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.