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Finding the Fourth Proportional to 9,256.44, 12,783.24 and 5,900.76

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Solution

The fourth proportional to 9,256.44, 12,783.24 and 5,900.76 is: 8,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.44 : 12,783.24 = 5,900.76 : x
  2. Step 2: Convert to fraction form
    9,256.44/12,783.24 = 5,900.76/x
  3. Step 3: Cross multiply
    9,256.44x = 12,783.24 × 5,900.76
  4. Step 4: Simplify right side
    9,256.44x = 75,430,831.26
  5. Step 5: Solve for x
    x = 75,430,831.26/9,256.44
  6. Step 6: Final answer
    x = 8,149.01

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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.