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Finding the Fourth Proportional to 6,526.62, 9,006.54 and 3,693.78

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Solution

The fourth proportional to 6,526.62, 9,006.54 and 3,693.78 is: 5,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.62 : 9,006.54 = 3,693.78 : x
  2. Step 2: Convert to fraction form
    6,526.62/9,006.54 = 3,693.78/x
  3. Step 3: Cross multiply
    6,526.62x = 9,006.54 × 3,693.78
  4. Step 4: Simplify right side
    6,526.62x = 33,268,177.32
  5. Step 5: Solve for x
    x = 33,268,177.32/6,526.62
  6. Step 6: Final answer
    x = 5,097.31

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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.