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Finding the Fourth Proportional to 9,642.67, 14,465.72 and 3,406.30

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Solution

The fourth proportional to 9,642.67, 14,465.72 and 3,406.30 is: 5,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.67 : 14,465.72 = 3,406.30 : x
  2. Step 2: Convert to fraction form
    9,642.67/14,465.72 = 3,406.30/x
  3. Step 3: Cross multiply
    9,642.67x = 14,465.72 × 3,406.30
  4. Step 4: Simplify right side
    9,642.67x = 49,274,528.84
  5. Step 5: Solve for x
    x = 49,274,528.84/9,642.67
  6. Step 6: Final answer
    x = 5,110.05

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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.