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Finding the Fourth Proportional to 12,636.40, 17,437.45 and 6,971.22

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Solution

The fourth proportional to 12,636.40, 17,437.45 and 6,971.22 is: 9,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.40 : 17,437.45 = 6,971.22 : x
  2. Step 2: Convert to fraction form
    12,636.40/17,437.45 = 6,971.22/x
  3. Step 3: Cross multiply
    12,636.40x = 17,437.45 × 6,971.22
  4. Step 4: Simplify right side
    12,636.40x = 121,560,300.19
  5. Step 5: Solve for x
    x = 121,560,300.19/12,636.40
  6. Step 6: Final answer
    x = 9,619.85

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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.