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Finding the Fourth Proportional to 9,500.76, 13,111.20 and 5,309.28

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Solution

The fourth proportional to 9,500.76, 13,111.20 and 5,309.28 is: 7,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.76 : 13,111.20 = 5,309.28 : x
  2. Step 2: Convert to fraction form
    9,500.76/13,111.20 = 5,309.28/x
  3. Step 3: Cross multiply
    9,500.76x = 13,111.20 × 5,309.28
  4. Step 4: Simplify right side
    9,500.76x = 69,611,031.94
  5. Step 5: Solve for x
    x = 69,611,031.94/9,500.76
  6. Step 6: Final answer
    x = 7,326.89

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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.