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Finding the Fourth Proportional to 6,548.16, 9,037.83 and 4,313.64

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Solution

The fourth proportional to 6,548.16, 9,037.83 and 4,313.64 is: 5,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.16 : 9,037.83 = 4,313.64 : x
  2. Step 2: Convert to fraction form
    6,548.16/9,037.83 = 4,313.64/x
  3. Step 3: Cross multiply
    6,548.16x = 9,037.83 × 4,313.64
  4. Step 4: Simplify right side
    6,548.16x = 38,985,945.00
  5. Step 5: Solve for x
    x = 38,985,945.00/6,548.16
  6. Step 6: Final answer
    x = 5,953.73

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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.