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Finding the Fourth Proportional to 6,537.47, 9,018.50 and 3,883.01

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Solution

The fourth proportional to 6,537.47, 9,018.50 and 3,883.01 is: 5,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.47 : 9,018.50 = 3,883.01 : x
  2. Step 2: Convert to fraction form
    6,537.47/9,018.50 = 3,883.01/x
  3. Step 3: Cross multiply
    6,537.47x = 9,018.50 × 3,883.01
  4. Step 4: Simplify right side
    6,537.47x = 35,018,861.18
  5. Step 5: Solve for x
    x = 35,018,861.18/6,537.47
  6. Step 6: Final answer
    x = 5,356.64

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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.