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Finding the Fourth Proportional to 9,208.64, 13,815.28 and 2,635.40

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Solution

The fourth proportional to 9,208.64, 13,815.28 and 2,635.40 is: 3,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.64 : 13,815.28 = 2,635.40 : x
  2. Step 2: Convert to fraction form
    9,208.64/13,815.28 = 2,635.40/x
  3. Step 3: Cross multiply
    9,208.64x = 13,815.28 × 2,635.40
  4. Step 4: Simplify right side
    9,208.64x = 36,408,788.91
  5. Step 5: Solve for x
    x = 36,408,788.91/9,208.64
  6. Step 6: Final answer
    x = 3,953.76

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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.