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Finding the Fourth Proportional to 9,768.74, 13,486.61 and 6,417.40

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Solution

The fourth proportional to 9,768.74, 13,486.61 and 6,417.40 is: 8,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.74 : 13,486.61 = 6,417.40 : x
  2. Step 2: Convert to fraction form
    9,768.74/13,486.61 = 6,417.40/x
  3. Step 3: Cross multiply
    9,768.74x = 13,486.61 × 6,417.40
  4. Step 4: Simplify right side
    9,768.74x = 86,548,912.42
  5. Step 5: Solve for x
    x = 86,548,912.42/9,768.74
  6. Step 6: Final answer
    x = 8,859.78

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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.