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Finding the Fourth Proportional to 9,399.13, 12,967.86 and 5,419.71

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Solution

The fourth proportional to 9,399.13, 12,967.86 and 5,419.71 is: 7,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.13 : 12,967.86 = 5,419.71 : x
  2. Step 2: Convert to fraction form
    9,399.13/12,967.86 = 5,419.71/x
  3. Step 3: Cross multiply
    9,399.13x = 12,967.86 × 5,419.71
  4. Step 4: Simplify right side
    9,399.13x = 70,282,040.52
  5. Step 5: Solve for x
    x = 70,282,040.52/9,399.13
  6. Step 6: Final answer
    x = 7,477.50

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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.