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Finding the Fourth Proportional to 12,277.91, 16,944.90 and 6,973.63

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Solution

The fourth proportional to 12,277.91, 16,944.90 and 6,973.63 is: 9,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.91 : 16,944.90 = 6,973.63 : x
  2. Step 2: Convert to fraction form
    12,277.91/16,944.90 = 6,973.63/x
  3. Step 3: Cross multiply
    12,277.91x = 16,944.90 × 6,973.63
  4. Step 4: Simplify right side
    12,277.91x = 118,167,394.47
  5. Step 5: Solve for x
    x = 118,167,394.47/12,277.91
  6. Step 6: Final answer
    x = 9,624.39

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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.