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Finding the Fourth Proportional to 9,675.29, 14,519.41 and 3,519.29

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Solution

The fourth proportional to 9,675.29, 14,519.41 and 3,519.29 is: 5,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.29 : 14,519.41 = 3,519.29 : x
  2. Step 2: Convert to fraction form
    9,675.29/14,519.41 = 3,519.29/x
  3. Step 3: Cross multiply
    9,675.29x = 14,519.41 × 3,519.29
  4. Step 4: Simplify right side
    9,675.29x = 51,097,980.87
  5. Step 5: Solve for x
    x = 51,097,980.87/9,675.29
  6. Step 6: Final answer
    x = 5,281.29

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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.