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Finding the Fourth Proportional to 9,977.64, 13,754.03 and 8,206.17

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Solution

The fourth proportional to 9,977.64, 13,754.03 and 8,206.17 is: 11,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.64 : 13,754.03 = 8,206.17 : x
  2. Step 2: Convert to fraction form
    9,977.64/13,754.03 = 8,206.17/x
  3. Step 3: Cross multiply
    9,977.64x = 13,754.03 × 8,206.17
  4. Step 4: Simplify right side
    9,977.64x = 112,867,908.37
  5. Step 5: Solve for x
    x = 112,867,908.37/9,977.64
  6. Step 6: Final answer
    x = 11,312.08

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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.