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Finding the Fourth Proportional to 9,846.35, 14,762.99 and 5,160.70

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Solution

The fourth proportional to 9,846.35, 14,762.99 and 5,160.70 is: 7,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.35 : 14,762.99 = 5,160.70 : x
  2. Step 2: Convert to fraction form
    9,846.35/14,762.99 = 5,160.70/x
  3. Step 3: Cross multiply
    9,846.35x = 14,762.99 × 5,160.70
  4. Step 4: Simplify right side
    9,846.35x = 76,187,393.85
  5. Step 5: Solve for x
    x = 76,187,393.85/9,846.35
  6. Step 6: Final answer
    x = 7,737.63

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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.