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Finding the Fourth Proportional to 6,347.10, 9,520.65 and 5,666.70

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Solution

The fourth proportional to 6,347.10, 9,520.65 and 5,666.70 is: 8,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.10 : 9,520.65 = 5,666.70 : x
  2. Step 2: Convert to fraction form
    6,347.10/9,520.65 = 5,666.70/x
  3. Step 3: Cross multiply
    6,347.10x = 9,520.65 × 5,666.70
  4. Step 4: Simplify right side
    6,347.10x = 53,950,667.36
  5. Step 5: Solve for x
    x = 53,950,667.36/6,347.10
  6. Step 6: Final answer
    x = 8,500.05

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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.