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Finding the Fourth Proportional to 10,659.96, 14,632.47 and 9,454.68

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Solution

The fourth proportional to 10,659.96, 14,632.47 and 9,454.68 is: 12,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.96 : 14,632.47 = 9,454.68 : x
  2. Step 2: Convert to fraction form
    10,659.96/14,632.47 = 9,454.68/x
  3. Step 3: Cross multiply
    10,659.96x = 14,632.47 × 9,454.68
  4. Step 4: Simplify right side
    10,659.96x = 138,345,321.46
  5. Step 5: Solve for x
    x = 138,345,321.46/10,659.96
  6. Step 6: Final answer
    x = 12,978.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.