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Finding the Fourth Proportional to 9,767.22, 13,471.79 and 6,357.93

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Solution

The fourth proportional to 9,767.22, 13,471.79 and 6,357.93 is: 8,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.22 : 13,471.79 = 6,357.93 : x
  2. Step 2: Convert to fraction form
    9,767.22/13,471.79 = 6,357.93/x
  3. Step 3: Cross multiply
    9,767.22x = 13,471.79 × 6,357.93
  4. Step 4: Simplify right side
    9,767.22x = 85,652,666.01
  5. Step 5: Solve for x
    x = 85,652,666.01/9,767.22
  6. Step 6: Final answer
    x = 8,769.40

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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.