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Finding the Fourth Proportional to 9,719.30, 14,579.41 and 3,146

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Solution

The fourth proportional to 9,719.30, 14,579.41 and 3,146 is: 4,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.30 : 14,579.41 = 3,146 : x
  2. Step 2: Convert to fraction form
    9,719.30/14,579.41 = 3,146/x
  3. Step 3: Cross multiply
    9,719.30x = 14,579.41 × 3,146
  4. Step 4: Simplify right side
    9,719.30x = 45,866,823.86
  5. Step 5: Solve for x
    x = 45,866,823.86/9,719.30
  6. Step 6: Final answer
    x = 4,719.15

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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.