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Finding the Fourth Proportional to 12,762.12, 17,606.72 and 9,412.98

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Solution

The fourth proportional to 12,762.12, 17,606.72 and 9,412.98 is: 12,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.12 : 17,606.72 = 9,412.98 : x
  2. Step 2: Convert to fraction form
    12,762.12/17,606.72 = 9,412.98/x
  3. Step 3: Cross multiply
    12,762.12x = 17,606.72 × 9,412.98
  4. Step 4: Simplify right side
    12,762.12x = 165,731,703.23
  5. Step 5: Solve for x
    x = 165,731,703.23/12,762.12
  6. Step 6: Final answer
    x = 12,986.22

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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.