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Finding the Fourth Proportional to 9,382.40, 14,071.88 and 3,458

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Solution

The fourth proportional to 9,382.40, 14,071.88 and 3,458 is: 5,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.40 : 14,071.88 = 3,458 : x
  2. Step 2: Convert to fraction form
    9,382.40/14,071.88 = 3,458/x
  3. Step 3: Cross multiply
    9,382.40x = 14,071.88 × 3,458
  4. Step 4: Simplify right side
    9,382.40x = 48,660,561.04
  5. Step 5: Solve for x
    x = 48,660,561.04/9,382.40
  6. Step 6: Final answer
    x = 5,186.37

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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.