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Finding the Fourth Proportional to 6,382.70, 9,527.27 and 5,913.63

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Solution

The fourth proportional to 6,382.70, 9,527.27 and 5,913.63 is: 8,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.70 : 9,527.27 = 5,913.63 : x
  2. Step 2: Convert to fraction form
    6,382.70/9,527.27 = 5,913.63/x
  3. Step 3: Cross multiply
    6,382.70x = 9,527.27 × 5,913.63
  4. Step 4: Simplify right side
    6,382.70x = 56,340,780.18
  5. Step 5: Solve for x
    x = 56,340,780.18/6,382.70
  6. Step 6: Final answer
    x = 8,827.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.