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Finding the Fourth Proportional to 6,526.45, 9,006.94 and 3,693.82

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Solution

The fourth proportional to 6,526.45, 9,006.94 and 3,693.82 is: 5,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.45 : 9,006.94 = 3,693.82 : x
  2. Step 2: Convert to fraction form
    6,526.45/9,006.94 = 3,693.82/x
  3. Step 3: Cross multiply
    6,526.45x = 9,006.94 × 3,693.82
  4. Step 4: Simplify right side
    6,526.45x = 33,270,015.11
  5. Step 5: Solve for x
    x = 33,270,015.11/6,526.45
  6. Step 6: Final answer
    x = 5,097.72

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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.