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Finding the Fourth Proportional to 6,028.69, 9,032.08 and 5,897.47

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Solution

The fourth proportional to 6,028.69, 9,032.08 and 5,897.47 is: 8,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.69 : 9,032.08 = 5,897.47 : x
  2. Step 2: Convert to fraction form
    6,028.69/9,032.08 = 5,897.47/x
  3. Step 3: Cross multiply
    6,028.69x = 9,032.08 × 5,897.47
  4. Step 4: Simplify right side
    6,028.69x = 53,266,346.19
  5. Step 5: Solve for x
    x = 53,266,346.19/6,028.69
  6. Step 6: Final answer
    x = 8,835.48

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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.