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Finding the Fourth Proportional to 9,137.82, 13,702.04 and 4,458.03

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Solution

The fourth proportional to 9,137.82, 13,702.04 and 4,458.03 is: 6,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.82 : 13,702.04 = 4,458.03 : x
  2. Step 2: Convert to fraction form
    9,137.82/13,702.04 = 4,458.03/x
  3. Step 3: Cross multiply
    9,137.82x = 13,702.04 × 4,458.03
  4. Step 4: Simplify right side
    9,137.82x = 61,084,083.09
  5. Step 5: Solve for x
    x = 61,084,083.09/9,137.82
  6. Step 6: Final answer
    x = 6,684.75

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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.