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Finding the Fourth Proportional to 9,313.72, 12,852.86 and 5,064.78

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Solution

The fourth proportional to 9,313.72, 12,852.86 and 5,064.78 is: 6,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.72 : 12,852.86 = 5,064.78 : x
  2. Step 2: Convert to fraction form
    9,313.72/12,852.86 = 5,064.78/x
  3. Step 3: Cross multiply
    9,313.72x = 12,852.86 × 5,064.78
  4. Step 4: Simplify right side
    9,313.72x = 65,096,908.27
  5. Step 5: Solve for x
    x = 65,096,908.27/9,313.72
  6. Step 6: Final answer
    x = 6,989.36

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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.