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Finding the Fourth Proportional to 9,719.44, 14,574.12 and 3,144.76

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Solution

The fourth proportional to 9,719.44, 14,574.12 and 3,144.76 is: 4,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.44 : 14,574.12 = 3,144.76 : x
  2. Step 2: Convert to fraction form
    9,719.44/14,574.12 = 3,144.76/x
  3. Step 3: Cross multiply
    9,719.44x = 14,574.12 × 3,144.76
  4. Step 4: Simplify right side
    9,719.44x = 45,832,109.61
  5. Step 5: Solve for x
    x = 45,832,109.61/9,719.44
  6. Step 6: Final answer
    x = 4,715.51

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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.