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Finding the Fourth Proportional to 12,281.94, 16,949.55 and 6,977.70

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Solution

The fourth proportional to 12,281.94, 16,949.55 and 6,977.70 is: 9,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.94 : 16,949.55 = 6,977.70 : x
  2. Step 2: Convert to fraction form
    12,281.94/16,949.55 = 6,977.70/x
  3. Step 3: Cross multiply
    12,281.94x = 16,949.55 × 6,977.70
  4. Step 4: Simplify right side
    12,281.94x = 118,268,875.04
  5. Step 5: Solve for x
    x = 118,268,875.04/12,281.94
  6. Step 6: Final answer
    x = 9,629.49

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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.