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Finding the Fourth Proportional to 9,845.16, 14,755.26 and 9,741

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Solution

The fourth proportional to 9,845.16, 14,755.26 and 9,741 is: 14,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.16 : 14,755.26 = 9,741 : x
  2. Step 2: Convert to fraction form
    9,845.16/14,755.26 = 9,741/x
  3. Step 3: Cross multiply
    9,845.16x = 14,755.26 × 9,741
  4. Step 4: Simplify right side
    9,845.16x = 143,730,987.66
  5. Step 5: Solve for x
    x = 143,730,987.66/9,845.16
  6. Step 6: Final answer
    x = 14,599.15

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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.