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Finding the Fourth Proportional to 9,716.49, 14,576.90 and 3,142.53

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Solution

The fourth proportional to 9,716.49, 14,576.90 and 3,142.53 is: 4,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.49 : 14,576.90 = 3,142.53 : x
  2. Step 2: Convert to fraction form
    9,716.49/14,576.90 = 3,142.53/x
  3. Step 3: Cross multiply
    9,716.49x = 14,576.90 × 3,142.53
  4. Step 4: Simplify right side
    9,716.49x = 45,808,329.84
  5. Step 5: Solve for x
    x = 45,808,329.84/9,716.49
  6. Step 6: Final answer
    x = 4,714.49

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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.