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Finding the Fourth Proportional to 9,736.66, 14,600.67 and 6,038.74

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Solution

The fourth proportional to 9,736.66, 14,600.67 and 6,038.74 is: 9,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.66 : 14,600.67 = 6,038.74 : x
  2. Step 2: Convert to fraction form
    9,736.66/14,600.67 = 6,038.74/x
  3. Step 3: Cross multiply
    9,736.66x = 14,600.67 × 6,038.74
  4. Step 4: Simplify right side
    9,736.66x = 88,169,649.96
  5. Step 5: Solve for x
    x = 88,169,649.96/9,736.66
  6. Step 6: Final answer
    x = 9,055.43

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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.