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Finding the Fourth Proportional to 9,536.40, 13,144.68 and 7,436.88

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Solution

The fourth proportional to 9,536.40, 13,144.68 and 7,436.88 is: 10,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.40 : 13,144.68 = 7,436.88 : x
  2. Step 2: Convert to fraction form
    9,536.40/13,144.68 = 7,436.88/x
  3. Step 3: Cross multiply
    9,536.40x = 13,144.68 × 7,436.88
  4. Step 4: Simplify right side
    9,536.40x = 97,755,407.80
  5. Step 5: Solve for x
    x = 97,755,407.80/9,536.40
  6. Step 6: Final answer
    x = 10,250.77

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