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Finding the Fourth Proportional to 12,761.34, 17,605.73 and 9,412.10

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Solution

The fourth proportional to 12,761.34, 17,605.73 and 9,412.10 is: 12,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.34 : 17,605.73 = 9,412.10 : x
  2. Step 2: Convert to fraction form
    12,761.34/17,605.73 = 9,412.10/x
  3. Step 3: Cross multiply
    12,761.34x = 17,605.73 × 9,412.10
  4. Step 4: Simplify right side
    12,761.34x = 165,706,756.24
  5. Step 5: Solve for x
    x = 165,706,756.24/12,761.34
  6. Step 6: Final answer
    x = 12,985.06

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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.