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Finding the Fourth Proportional to 6,430.10, 9,659.55 and 6,167.70

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Solution

The fourth proportional to 6,430.10, 9,659.55 and 6,167.70 is: 9,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.10 : 9,659.55 = 6,167.70 : x
  2. Step 2: Convert to fraction form
    6,430.10/9,659.55 = 6,167.70/x
  3. Step 3: Cross multiply
    6,430.10x = 9,659.55 × 6,167.70
  4. Step 4: Simplify right side
    6,430.10x = 59,577,206.54
  5. Step 5: Solve for x
    x = 59,577,206.54/6,430.10
  6. Step 6: Final answer
    x = 9,265.36

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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.