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Finding the Fourth Proportional to 6,426, 8,869.10 and 3,631.50

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Solution

The fourth proportional to 6,426, 8,869.10 and 3,631.50 is: 5,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426 : 8,869.10 = 3,631.50 : x
  2. Step 2: Convert to fraction form
    6,426/8,869.10 = 3,631.50/x
  3. Step 3: Cross multiply
    6,426x = 8,869.10 × 3,631.50
  4. Step 4: Simplify right side
    6,426x = 32,208,118.49
  5. Step 5: Solve for x
    x = 32,208,118.49/6,426
  6. Step 6: Final answer
    x = 5,012.16

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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.