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Finding the Fourth Proportional to 12,762.09, 17,606.70 and 9,412.88

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Solution

The fourth proportional to 12,762.09, 17,606.70 and 9,412.88 is: 12,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.09 : 17,606.70 = 9,412.88 : x
  2. Step 2: Convert to fraction form
    12,762.09/17,606.70 = 9,412.88/x
  3. Step 3: Cross multiply
    12,762.09x = 17,606.70 × 9,412.88
  4. Step 4: Simplify right side
    12,762.09x = 165,729,666.26
  5. Step 5: Solve for x
    x = 165,729,666.26/12,762.09
  6. Step 6: Final answer
    x = 12,986.09

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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.