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Finding the Fourth Proportional to 10,723.86, 14,797.53 and 6,009

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Solution

The fourth proportional to 10,723.86, 14,797.53 and 6,009 is: 8,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.86 : 14,797.53 = 6,009 : x
  2. Step 2: Convert to fraction form
    10,723.86/14,797.53 = 6,009/x
  3. Step 3: Cross multiply
    10,723.86x = 14,797.53 × 6,009
  4. Step 4: Simplify right side
    10,723.86x = 88,918,357.77
  5. Step 5: Solve for x
    x = 88,918,357.77/10,723.86
  6. Step 6: Final answer
    x = 8,291.64

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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.