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Finding the Fourth Proportional to 6,300.68, 9,430.81 and 4,187.46

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Solution

The fourth proportional to 6,300.68, 9,430.81 and 4,187.46 is: 6,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.68 : 9,430.81 = 4,187.46 : x
  2. Step 2: Convert to fraction form
    6,300.68/9,430.81 = 4,187.46/x
  3. Step 3: Cross multiply
    6,300.68x = 9,430.81 × 4,187.46
  4. Step 4: Simplify right side
    6,300.68x = 39,491,139.64
  5. Step 5: Solve for x
    x = 39,491,139.64/6,300.68
  6. Step 6: Final answer
    x = 6,267.76

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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.