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Finding the Fourth Proportional to 9,419.76, 13,002.66 and 5,881.68

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Solution

The fourth proportional to 9,419.76, 13,002.66 and 5,881.68 is: 8,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.76 : 13,002.66 = 5,881.68 : x
  2. Step 2: Convert to fraction form
    9,419.76/13,002.66 = 5,881.68/x
  3. Step 3: Cross multiply
    9,419.76x = 13,002.66 × 5,881.68
  4. Step 4: Simplify right side
    9,419.76x = 76,477,485.27
  5. Step 5: Solve for x
    x = 76,477,485.27/9,419.76
  6. Step 6: Final answer
    x = 8,118.84

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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.