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Finding the Fourth Proportional to 13,907.10, 19,185.16 and 9,125.09

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Solution

The fourth proportional to 13,907.10, 19,185.16 and 9,125.09 is: 12,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.10 : 19,185.16 = 9,125.09 : x
  2. Step 2: Convert to fraction form
    13,907.10/19,185.16 = 9,125.09/x
  3. Step 3: Cross multiply
    13,907.10x = 19,185.16 × 9,125.09
  4. Step 4: Simplify right side
    13,907.10x = 175,066,311.66
  5. Step 5: Solve for x
    x = 175,066,311.66/13,907.10
  6. Step 6: Final answer
    x = 12,588.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.