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Finding the Fourth Proportional to 9,235.17, 12,744.53 and 5,459.70

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Solution

The fourth proportional to 9,235.17, 12,744.53 and 5,459.70 is: 7,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.17 : 12,744.53 = 5,459.70 : x
  2. Step 2: Convert to fraction form
    9,235.17/12,744.53 = 5,459.70/x
  3. Step 3: Cross multiply
    9,235.17x = 12,744.53 × 5,459.70
  4. Step 4: Simplify right side
    9,235.17x = 69,581,310.44
  5. Step 5: Solve for x
    x = 69,581,310.44/9,235.17
  6. Step 6: Final answer
    x = 7,534.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.