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Finding the Fourth Proportional to 6,417.06, 9,622.14 and 3,295.80

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Solution

The fourth proportional to 6,417.06, 9,622.14 and 3,295.80 is: 4,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.06 : 9,622.14 = 3,295.80 : x
  2. Step 2: Convert to fraction form
    6,417.06/9,622.14 = 3,295.80/x
  3. Step 3: Cross multiply
    6,417.06x = 9,622.14 × 3,295.80
  4. Step 4: Simplify right side
    6,417.06x = 31,712,649.01
  5. Step 5: Solve for x
    x = 31,712,649.01/6,417.06
  6. Step 6: Final answer
    x = 4,941.93

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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.