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Finding the Fourth Proportional to 12,282.77, 16,949.72 and 6,977.00

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Solution

The fourth proportional to 12,282.77, 16,949.72 and 6,977.00 is: 9,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.77 : 16,949.72 = 6,977.00 : x
  2. Step 2: Convert to fraction form
    12,282.77/16,949.72 = 6,977.00/x
  3. Step 3: Cross multiply
    12,282.77x = 16,949.72 × 6,977.00
  4. Step 4: Simplify right side
    12,282.77x = 118,258,256.26
  5. Step 5: Solve for x
    x = 118,258,256.26/12,282.77
  6. Step 6: Final answer
    x = 9,627.98

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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.