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Finding the Fourth Proportional to 9,137.90, 13,705.79 and 2,564.65

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Solution

The fourth proportional to 9,137.90, 13,705.79 and 2,564.65 is: 3,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.90 : 13,705.79 = 2,564.65 : x
  2. Step 2: Convert to fraction form
    9,137.90/13,705.79 = 2,564.65/x
  3. Step 3: Cross multiply
    9,137.90x = 13,705.79 × 2,564.65
  4. Step 4: Simplify right side
    9,137.90x = 35,150,554.32
  5. Step 5: Solve for x
    x = 35,150,554.32/9,137.90
  6. Step 6: Final answer
    x = 3,846.68

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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.