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Finding the Fourth Proportional to 9,089.56, 13,635.71 and 2,848.18

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Solution

The fourth proportional to 9,089.56, 13,635.71 and 2,848.18 is: 4,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.56 : 13,635.71 = 2,848.18 : x
  2. Step 2: Convert to fraction form
    9,089.56/13,635.71 = 2,848.18/x
  3. Step 3: Cross multiply
    9,089.56x = 13,635.71 × 2,848.18
  4. Step 4: Simplify right side
    9,089.56x = 38,836,942.27
  5. Step 5: Solve for x
    x = 38,836,942.27/9,089.56
  6. Step 6: Final answer
    x = 4,272.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.