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Finding the Fourth Proportional to 6,534.13, 9,020.83 and 4,302.49

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Solution

The fourth proportional to 6,534.13, 9,020.83 and 4,302.49 is: 5,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.13 : 9,020.83 = 4,302.49 : x
  2. Step 2: Convert to fraction form
    6,534.13/9,020.83 = 4,302.49/x
  3. Step 3: Cross multiply
    6,534.13x = 9,020.83 × 4,302.49
  4. Step 4: Simplify right side
    6,534.13x = 38,812,030.87
  5. Step 5: Solve for x
    x = 38,812,030.87/6,534.13
  6. Step 6: Final answer
    x = 5,939.89

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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.