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Finding the Fourth Proportional to 6,263.07, 8,642.94 and 3,430.43

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Solution

The fourth proportional to 6,263.07, 8,642.94 and 3,430.43 is: 4,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.07 : 8,642.94 = 3,430.43 : x
  2. Step 2: Convert to fraction form
    6,263.07/8,642.94 = 3,430.43/x
  3. Step 3: Cross multiply
    6,263.07x = 8,642.94 × 3,430.43
  4. Step 4: Simplify right side
    6,263.07x = 29,648,957.45
  5. Step 5: Solve for x
    x = 29,648,957.45/6,263.07
  6. Step 6: Final answer
    x = 4,733.93

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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.