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Finding the Fourth Proportional to 6,359.40, 9,535.05 and 4,694.49

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Solution

The fourth proportional to 6,359.40, 9,535.05 and 4,694.49 is: 7,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.40 : 9,535.05 = 4,694.49 : x
  2. Step 2: Convert to fraction form
    6,359.40/9,535.05 = 4,694.49/x
  3. Step 3: Cross multiply
    6,359.40x = 9,535.05 × 4,694.49
  4. Step 4: Simplify right side
    6,359.40x = 44,762,196.87
  5. Step 5: Solve for x
    x = 44,762,196.87/6,359.40
  6. Step 6: Final answer
    x = 7,038.75

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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.