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Finding the Fourth Proportional to 6,903.28, 10,312.25 and 6,208.84

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Solution

The fourth proportional to 6,903.28, 10,312.25 and 6,208.84 is: 9,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.28 : 10,312.25 = 6,208.84 : x
  2. Step 2: Convert to fraction form
    6,903.28/10,312.25 = 6,208.84/x
  3. Step 3: Cross multiply
    6,903.28x = 10,312.25 × 6,208.84
  4. Step 4: Simplify right side
    6,903.28x = 64,027,110.29
  5. Step 5: Solve for x
    x = 64,027,110.29/6,903.28
  6. Step 6: Final answer
    x = 9,274.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.