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Finding the Fourth Proportional to 9,102.84, 13,635.90 and 6,284.76

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Solution

The fourth proportional to 9,102.84, 13,635.90 and 6,284.76 is: 9,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.84 : 13,635.90 = 6,284.76 : x
  2. Step 2: Convert to fraction form
    9,102.84/13,635.90 = 6,284.76/x
  3. Step 3: Cross multiply
    9,102.84x = 13,635.90 × 6,284.76
  4. Step 4: Simplify right side
    9,102.84x = 85,698,358.88
  5. Step 5: Solve for x
    x = 85,698,358.88/9,102.84
  6. Step 6: Final answer
    x = 9,414.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.