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Finding the Fourth Proportional to 6,414.60, 9,610.56 and 4,457.64

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Solution

The fourth proportional to 6,414.60, 9,610.56 and 4,457.64 is: 6,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.60 : 9,610.56 = 4,457.64 : x
  2. Step 2: Convert to fraction form
    6,414.60/9,610.56 = 4,457.64/x
  3. Step 3: Cross multiply
    6,414.60x = 9,610.56 × 4,457.64
  4. Step 4: Simplify right side
    6,414.60x = 42,840,416.68
  5. Step 5: Solve for x
    x = 42,840,416.68/6,414.60
  6. Step 6: Final answer
    x = 6,678.58

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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.