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Finding the Fourth Proportional to 12,636.41, 17,437.62 and 6,971.47

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Solution

The fourth proportional to 12,636.41, 17,437.62 and 6,971.47 is: 9,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.41 : 17,437.62 = 6,971.47 : x
  2. Step 2: Convert to fraction form
    12,636.41/17,437.62 = 6,971.47/x
  3. Step 3: Cross multiply
    12,636.41x = 17,437.62 × 6,971.47
  4. Step 4: Simplify right side
    12,636.41x = 121,565,757.51
  5. Step 5: Solve for x
    x = 121,565,757.51/12,636.41
  6. Step 6: Final answer
    x = 9,620.28

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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.