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Finding the Fourth Proportional to 9,157.74, 13,729.77 and 4,543.98

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Solution

The fourth proportional to 9,157.74, 13,729.77 and 4,543.98 is: 6,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.74 : 13,729.77 = 4,543.98 : x
  2. Step 2: Convert to fraction form
    9,157.74/13,729.77 = 4,543.98/x
  3. Step 3: Cross multiply
    9,157.74x = 13,729.77 × 4,543.98
  4. Step 4: Simplify right side
    9,157.74x = 62,387,800.28
  5. Step 5: Solve for x
    x = 62,387,800.28/9,157.74
  6. Step 6: Final answer
    x = 6,812.58

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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.