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Finding the Fourth Proportional to 9,664.20, 13,342.86 and 7,421.76

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Solution

The fourth proportional to 9,664.20, 13,342.86 and 7,421.76 is: 10,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.20 : 13,342.86 = 7,421.76 : x
  2. Step 2: Convert to fraction form
    9,664.20/13,342.86 = 7,421.76/x
  3. Step 3: Cross multiply
    9,664.20x = 13,342.86 × 7,421.76
  4. Step 4: Simplify right side
    9,664.20x = 99,027,504.63
  5. Step 5: Solve for x
    x = 99,027,504.63/9,664.20
  6. Step 6: Final answer
    x = 10,246.84

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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.