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Finding the Fourth Proportional to 9,160.76, 13,736.52 and 6,526.76

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Solution

The fourth proportional to 9,160.76, 13,736.52 and 6,526.76 is: 9,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.76 : 13,736.52 = 6,526.76 : x
  2. Step 2: Convert to fraction form
    9,160.76/13,736.52 = 6,526.76/x
  3. Step 3: Cross multiply
    9,160.76x = 13,736.52 × 6,526.76
  4. Step 4: Simplify right side
    9,160.76x = 89,654,969.28
  5. Step 5: Solve for x
    x = 89,654,969.28/9,160.76
  6. Step 6: Final answer
    x = 9,786.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.