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Finding the Fourth Proportional to 9,642.08, 14,463.68 and 2,716

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Solution

The fourth proportional to 9,642.08, 14,463.68 and 2,716 is: 4,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.08 : 14,463.68 = 2,716 : x
  2. Step 2: Convert to fraction form
    9,642.08/14,463.68 = 2,716/x
  3. Step 3: Cross multiply
    9,642.08x = 14,463.68 × 2,716
  4. Step 4: Simplify right side
    9,642.08x = 39,283,354.88
  5. Step 5: Solve for x
    x = 39,283,354.88/9,642.08
  6. Step 6: Final answer
    x = 4,074.16

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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.