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Finding the Fourth Proportional to 9,678.21, 14,517 and 2,752.71

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Solution

The fourth proportional to 9,678.21, 14,517 and 2,752.71 is: 4,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.21 : 14,517 = 2,752.71 : x
  2. Step 2: Convert to fraction form
    9,678.21/14,517 = 2,752.71/x
  3. Step 3: Cross multiply
    9,678.21x = 14,517 × 2,752.71
  4. Step 4: Simplify right side
    9,678.21x = 39,961,091.07
  5. Step 5: Solve for x
    x = 39,961,091.07/9,678.21
  6. Step 6: Final answer
    x = 4,128.98

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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.