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Finding the Fourth Proportional to 9,756.54, 14,612.82 and 5,852.70

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Solution

The fourth proportional to 9,756.54, 14,612.82 and 5,852.70 is: 8,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.54 : 14,612.82 = 5,852.70 : x
  2. Step 2: Convert to fraction form
    9,756.54/14,612.82 = 5,852.70/x
  3. Step 3: Cross multiply
    9,756.54x = 14,612.82 × 5,852.70
  4. Step 4: Simplify right side
    9,756.54x = 85,524,451.61
  5. Step 5: Solve for x
    x = 85,524,451.61/9,756.54
  6. Step 6: Final answer
    x = 8,765.86

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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.