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Finding the Fourth Proportional to 9,846.66, 14,773.49 and 6,051.61

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Solution

The fourth proportional to 9,846.66, 14,773.49 and 6,051.61 is: 9,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.66 : 14,773.49 = 6,051.61 : x
  2. Step 2: Convert to fraction form
    9,846.66/14,773.49 = 6,051.61/x
  3. Step 3: Cross multiply
    9,846.66x = 14,773.49 × 6,051.61
  4. Step 4: Simplify right side
    9,846.66x = 89,403,410.72
  5. Step 5: Solve for x
    x = 89,403,410.72/9,846.66
  6. Step 6: Final answer
    x = 9,079.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.