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Finding the Fourth Proportional to 9,295.92, 12,830.61 and 5,757

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Solution

The fourth proportional to 9,295.92, 12,830.61 and 5,757 is: 7,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.92 : 12,830.61 = 5,757 : x
  2. Step 2: Convert to fraction form
    9,295.92/12,830.61 = 5,757/x
  3. Step 3: Cross multiply
    9,295.92x = 12,830.61 × 5,757
  4. Step 4: Simplify right side
    9,295.92x = 73,865,821.77
  5. Step 5: Solve for x
    x = 73,865,821.77/9,295.92
  6. Step 6: Final answer
    x = 7,946.05

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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.