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Finding the Fourth Proportional to 6,189.19, 9,283.77 and 5,353.76

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Solution

The fourth proportional to 6,189.19, 9,283.77 and 5,353.76 is: 8,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.19 : 9,283.77 = 5,353.76 : x
  2. Step 2: Convert to fraction form
    6,189.19/9,283.77 = 5,353.76/x
  3. Step 3: Cross multiply
    6,189.19x = 9,283.77 × 5,353.76
  4. Step 4: Simplify right side
    6,189.19x = 49,703,030.06
  5. Step 5: Solve for x
    x = 49,703,030.06/6,189.19
  6. Step 6: Final answer
    x = 8,030.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.