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Finding the Fourth Proportional to 12,281.79, 16,949.76 and 6,977.01

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Solution

The fourth proportional to 12,281.79, 16,949.76 and 6,977.01 is: 9,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.79 : 16,949.76 = 6,977.01 : x
  2. Step 2: Convert to fraction form
    12,281.79/16,949.76 = 6,977.01/x
  3. Step 3: Cross multiply
    12,281.79x = 16,949.76 × 6,977.01
  4. Step 4: Simplify right side
    12,281.79x = 118,258,645.02
  5. Step 5: Solve for x
    x = 118,258,645.02/12,281.79
  6. Step 6: Final answer
    x = 9,628.78

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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.