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Finding the Fourth Proportional to 7,033.48, 9,699.78 and 6,038.44

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Solution

The fourth proportional to 7,033.48, 9,699.78 and 6,038.44 is: 8,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.48 : 9,699.78 = 6,038.44 : x
  2. Step 2: Convert to fraction form
    7,033.48/9,699.78 = 6,038.44/x
  3. Step 3: Cross multiply
    7,033.48x = 9,699.78 × 6,038.44
  4. Step 4: Simplify right side
    7,033.48x = 58,571,539.54
  5. Step 5: Solve for x
    x = 58,571,539.54/7,033.48
  6. Step 6: Final answer
    x = 8,327.53

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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.