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Finding the Fourth Proportional to 6,550.53, 9,038.32 and 3,897.42

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Solution

The fourth proportional to 6,550.53, 9,038.32 and 3,897.42 is: 5,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.53 : 9,038.32 = 3,897.42 : x
  2. Step 2: Convert to fraction form
    6,550.53/9,038.32 = 3,897.42/x
  3. Step 3: Cross multiply
    6,550.53x = 9,038.32 × 3,897.42
  4. Step 4: Simplify right side
    6,550.53x = 35,226,083.94
  5. Step 5: Solve for x
    x = 35,226,083.94/6,550.53
  6. Step 6: Final answer
    x = 5,377.60

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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.