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Finding the Fourth Proportional to 9,685.84, 13,370.54 and 6,546.28

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Solution

The fourth proportional to 9,685.84, 13,370.54 and 6,546.28 is: 9,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.84 : 13,370.54 = 6,546.28 : x
  2. Step 2: Convert to fraction form
    9,685.84/13,370.54 = 6,546.28/x
  3. Step 3: Cross multiply
    9,685.84x = 13,370.54 × 6,546.28
  4. Step 4: Simplify right side
    9,685.84x = 87,527,298.59
  5. Step 5: Solve for x
    x = 87,527,298.59/9,685.84
  6. Step 6: Final answer
    x = 9,036.62

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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.