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Finding the Fourth Proportional to 9,285.71, 12,817.85 and 6,302.88

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Solution

The fourth proportional to 9,285.71, 12,817.85 and 6,302.88 is: 8,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.71 : 12,817.85 = 6,302.88 : x
  2. Step 2: Convert to fraction form
    9,285.71/12,817.85 = 6,302.88/x
  3. Step 3: Cross multiply
    9,285.71x = 12,817.85 × 6,302.88
  4. Step 4: Simplify right side
    9,285.71x = 80,789,338.89
  5. Step 5: Solve for x
    x = 80,789,338.89/9,285.71
  6. Step 6: Final answer
    x = 8,700.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.