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Finding the Fourth Proportional to 9,080.38, 12,526.48 and 5,537.44

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Solution

The fourth proportional to 9,080.38, 12,526.48 and 5,537.44 is: 7,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.38 : 12,526.48 = 5,537.44 : x
  2. Step 2: Convert to fraction form
    9,080.38/12,526.48 = 5,537.44/x
  3. Step 3: Cross multiply
    9,080.38x = 12,526.48 × 5,537.44
  4. Step 4: Simplify right side
    9,080.38x = 69,364,631.41
  5. Step 5: Solve for x
    x = 69,364,631.41/9,080.38
  6. Step 6: Final answer
    x = 7,638.96

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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.