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Finding the Fourth Proportional to 9,089.58, 13,634.64 and 2,516.25

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Solution

The fourth proportional to 9,089.58, 13,634.64 and 2,516.25 is: 3,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.58 : 13,634.64 = 2,516.25 : x
  2. Step 2: Convert to fraction form
    9,089.58/13,634.64 = 2,516.25/x
  3. Step 3: Cross multiply
    9,089.58x = 13,634.64 × 2,516.25
  4. Step 4: Simplify right side
    9,089.58x = 34,308,162.90
  5. Step 5: Solve for x
    x = 34,308,162.90/9,089.58
  6. Step 6: Final answer
    x = 3,774.45

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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.