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Finding the Fourth Proportional to 9,486.86, 14,219.19 and 7,139.33

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Solution

The fourth proportional to 9,486.86, 14,219.19 and 7,139.33 is: 10,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.86 : 14,219.19 = 7,139.33 : x
  2. Step 2: Convert to fraction form
    9,486.86/14,219.19 = 7,139.33/x
  3. Step 3: Cross multiply
    9,486.86x = 14,219.19 × 7,139.33
  4. Step 4: Simplify right side
    9,486.86x = 101,515,489.74
  5. Step 5: Solve for x
    x = 101,515,489.74/9,486.86
  6. Step 6: Final answer
    x = 10,700.64

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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.