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Finding the Fourth Proportional to 9,010, 13,508.98 and 3,743.64

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Solution

The fourth proportional to 9,010, 13,508.98 and 3,743.64 is: 5,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010 : 13,508.98 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    9,010/13,508.98 = 3,743.64/x
  3. Step 3: Cross multiply
    9,010x = 13,508.98 × 3,743.64
  4. Step 4: Simplify right side
    9,010x = 50,572,757.89
  5. Step 5: Solve for x
    x = 50,572,757.89/9,010
  6. Step 6: Final answer
    x = 5,612.96

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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.