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Finding the Fourth Proportional to 9,719.10, 14,578.65 and 8,912.70

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Solution

The fourth proportional to 9,719.10, 14,578.65 and 8,912.70 is: 13,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.10 : 14,578.65 = 8,912.70 : x
  2. Step 2: Convert to fraction form
    9,719.10/14,578.65 = 8,912.70/x
  3. Step 3: Cross multiply
    9,719.10x = 14,578.65 × 8,912.70
  4. Step 4: Simplify right side
    9,719.10x = 129,935,133.86
  5. Step 5: Solve for x
    x = 129,935,133.86/9,719.10
  6. Step 6: Final answer
    x = 13,369.05

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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.