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Finding the Fourth Proportional to 9,768.61, 13,480.54 and 5,938.93

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Solution

The fourth proportional to 9,768.61, 13,480.54 and 5,938.93 is: 8,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.61 : 13,480.54 = 5,938.93 : x
  2. Step 2: Convert to fraction form
    9,768.61/13,480.54 = 5,938.93/x
  3. Step 3: Cross multiply
    9,768.61x = 13,480.54 × 5,938.93
  4. Step 4: Simplify right side
    9,768.61x = 80,059,983.42
  5. Step 5: Solve for x
    x = 80,059,983.42/9,768.61
  6. Step 6: Final answer
    x = 8,195.64

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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.