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Finding the Fourth Proportional to 8,657.46, 12,969.09 and 5,726.88

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Solution

The fourth proportional to 8,657.46, 12,969.09 and 5,726.88 is: 8,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.46 : 12,969.09 = 5,726.88 : x
  2. Step 2: Convert to fraction form
    8,657.46/12,969.09 = 5,726.88/x
  3. Step 3: Cross multiply
    8,657.46x = 12,969.09 × 5,726.88
  4. Step 4: Simplify right side
    8,657.46x = 74,272,422.14
  5. Step 5: Solve for x
    x = 74,272,422.14/8,657.46
  6. Step 6: Final answer
    x = 8,579.01

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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.