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Finding the Fourth Proportional to 9,726.86, 14,591.64 and 3,150.92

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Solution

The fourth proportional to 9,726.86, 14,591.64 and 3,150.92 is: 4,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.86 : 14,591.64 = 3,150.92 : x
  2. Step 2: Convert to fraction form
    9,726.86/14,591.64 = 3,150.92/x
  3. Step 3: Cross multiply
    9,726.86x = 14,591.64 × 3,150.92
  4. Step 4: Simplify right side
    9,726.86x = 45,977,090.31
  5. Step 5: Solve for x
    x = 45,977,090.31/9,726.86
  6. Step 6: Final answer
    x = 4,726.82

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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.