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Finding the Fourth Proportional to 9,836.56, 13,575.90 and 6,478.84

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Solution

The fourth proportional to 9,836.56, 13,575.90 and 6,478.84 is: 8,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.56 : 13,575.90 = 6,478.84 : x
  2. Step 2: Convert to fraction form
    9,836.56/13,575.90 = 6,478.84/x
  3. Step 3: Cross multiply
    9,836.56x = 13,575.90 × 6,478.84
  4. Step 4: Simplify right side
    9,836.56x = 87,956,083.96
  5. Step 5: Solve for x
    x = 87,956,083.96/9,836.56
  6. Step 6: Final answer
    x = 8,941.75

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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.