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Finding the Fourth Proportional to 6,526.30, 9,006.27 and 3,693.59

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Solution

The fourth proportional to 6,526.30, 9,006.27 and 3,693.59 is: 5,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.30 : 9,006.27 = 3,693.59 : x
  2. Step 2: Convert to fraction form
    6,526.30/9,006.27 = 3,693.59/x
  3. Step 3: Cross multiply
    6,526.30x = 9,006.27 × 3,693.59
  4. Step 4: Simplify right side
    6,526.30x = 33,265,477.47
  5. Step 5: Solve for x
    x = 33,265,477.47/6,526.30
  6. Step 6: Final answer
    x = 5,097.14

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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.