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Finding the Fourth Proportional to 6,262.88, 8,642.61 and 3,430.25

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Solution

The fourth proportional to 6,262.88, 8,642.61 and 3,430.25 is: 4,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.88 : 8,642.61 = 3,430.25 : x
  2. Step 2: Convert to fraction form
    6,262.88/8,642.61 = 3,430.25/x
  3. Step 3: Cross multiply
    6,262.88x = 8,642.61 × 3,430.25
  4. Step 4: Simplify right side
    6,262.88x = 29,646,334.56
  5. Step 5: Solve for x
    x = 29,646,334.56/6,262.88
  6. Step 6: Final answer
    x = 4,733.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.