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Finding the Fourth Proportional to 9,382.34, 14,071.28 and 2,806.76

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Solution

The fourth proportional to 9,382.34, 14,071.28 and 2,806.76 is: 4,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.34 : 14,071.28 = 2,806.76 : x
  2. Step 2: Convert to fraction form
    9,382.34/14,071.28 = 2,806.76/x
  3. Step 3: Cross multiply
    9,382.34x = 14,071.28 × 2,806.76
  4. Step 4: Simplify right side
    9,382.34x = 39,494,621.46
  5. Step 5: Solve for x
    x = 39,494,621.46/9,382.34
  6. Step 6: Final answer
    x = 4,209.47

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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.