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Finding the Fourth Proportional to 8,646.76, 12,973.50 and 3,456.28

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Solution

The fourth proportional to 8,646.76, 12,973.50 and 3,456.28 is: 5,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.76 : 12,973.50 = 3,456.28 : x
  2. Step 2: Convert to fraction form
    8,646.76/12,973.50 = 3,456.28/x
  3. Step 3: Cross multiply
    8,646.76x = 12,973.50 × 3,456.28
  4. Step 4: Simplify right side
    8,646.76x = 44,840,048.58
  5. Step 5: Solve for x
    x = 44,840,048.58/8,646.76
  6. Step 6: Final answer
    x = 5,185.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.