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Finding the Fourth Proportional to 6,426.72, 8,871.55 and 4,657.98

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Solution

The fourth proportional to 6,426.72, 8,871.55 and 4,657.98 is: 6,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.72 : 8,871.55 = 4,657.98 : x
  2. Step 2: Convert to fraction form
    6,426.72/8,871.55 = 4,657.98/x
  3. Step 3: Cross multiply
    6,426.72x = 8,871.55 × 4,657.98
  4. Step 4: Simplify right side
    6,426.72x = 41,323,490.82
  5. Step 5: Solve for x
    x = 41,323,490.82/6,426.72
  6. Step 6: Final answer
    x = 6,429.95

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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.