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Finding the Fourth Proportional to 9,074.82, 13,603.59 and 2,914.50

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Solution

The fourth proportional to 9,074.82, 13,603.59 and 2,914.50 is: 4,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.82 : 13,603.59 = 2,914.50 : x
  2. Step 2: Convert to fraction form
    9,074.82/13,603.59 = 2,914.50/x
  3. Step 3: Cross multiply
    9,074.82x = 13,603.59 × 2,914.50
  4. Step 4: Simplify right side
    9,074.82x = 39,647,663.06
  5. Step 5: Solve for x
    x = 39,647,663.06/9,074.82
  6. Step 6: Final answer
    x = 4,368.98

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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.