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Finding the Fourth Proportional to 12,293.86, 16,966.96 and 6,989.47

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Solution

The fourth proportional to 12,293.86, 16,966.96 and 6,989.47 is: 9,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.86 : 16,966.96 = 6,989.47 : x
  2. Step 2: Convert to fraction form
    12,293.86/16,966.96 = 6,989.47/x
  3. Step 3: Cross multiply
    12,293.86x = 16,966.96 × 6,989.47
  4. Step 4: Simplify right side
    12,293.86x = 118,590,057.91
  5. Step 5: Solve for x
    x = 118,590,057.91/12,293.86
  6. Step 6: Final answer
    x = 9,646.28

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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.