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Finding the Fourth Proportional to 9,719.60, 14,579.40 and 8,452.40

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Solution

The fourth proportional to 9,719.60, 14,579.40 and 8,452.40 is: 12,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.60 : 14,579.40 = 8,452.40 : x
  2. Step 2: Convert to fraction form
    9,719.60/14,579.40 = 8,452.40/x
  3. Step 3: Cross multiply
    9,719.60x = 14,579.40 × 8,452.40
  4. Step 4: Simplify right side
    9,719.60x = 123,230,920.56
  5. Step 5: Solve for x
    x = 123,230,920.56/9,719.60
  6. Step 6: Final answer
    x = 12,678.60

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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.