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Finding the Fourth Proportional to 6,263.44, 8,643.65 and 3,430.76

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Solution

The fourth proportional to 6,263.44, 8,643.65 and 3,430.76 is: 4,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.44 : 8,643.65 = 3,430.76 : x
  2. Step 2: Convert to fraction form
    6,263.44/8,643.65 = 3,430.76/x
  3. Step 3: Cross multiply
    6,263.44x = 8,643.65 × 3,430.76
  4. Step 4: Simplify right side
    6,263.44x = 29,654,288.67
  5. Step 5: Solve for x
    x = 29,654,288.67/6,263.44
  6. Step 6: Final answer
    x = 4,734.51

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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.