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Finding the Fourth Proportional to 9,096.90, 13,635.90 and 4,410

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Solution

The fourth proportional to 9,096.90, 13,635.90 and 4,410 is: 6,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.90 : 13,635.90 = 4,410 : x
  2. Step 2: Convert to fraction form
    9,096.90/13,635.90 = 4,410/x
  3. Step 3: Cross multiply
    9,096.90x = 13,635.90 × 4,410
  4. Step 4: Simplify right side
    9,096.90x = 60,134,319
  5. Step 5: Solve for x
    x = 60,134,319/9,096.90
  6. Step 6: Final answer
    x = 6,610.42

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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.