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Finding the Fourth Proportional to 9,769.49, 13,487.66 and 6,418.16

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Solution

The fourth proportional to 9,769.49, 13,487.66 and 6,418.16 is: 8,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.49 : 13,487.66 = 6,418.16 : x
  2. Step 2: Convert to fraction form
    9,769.49/13,487.66 = 6,418.16/x
  3. Step 3: Cross multiply
    9,769.49x = 13,487.66 × 6,418.16
  4. Step 4: Simplify right side
    9,769.49x = 86,565,959.91
  5. Step 5: Solve for x
    x = 86,565,959.91/9,769.49
  6. Step 6: Final answer
    x = 8,860.85

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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.