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Finding the Fourth Proportional to 9,389.03, 12,958.25 and 5,409.50

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Solution

The fourth proportional to 9,389.03, 12,958.25 and 5,409.50 is: 7,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.03 : 12,958.25 = 5,409.50 : x
  2. Step 2: Convert to fraction form
    9,389.03/12,958.25 = 5,409.50/x
  3. Step 3: Cross multiply
    9,389.03x = 12,958.25 × 5,409.50
  4. Step 4: Simplify right side
    9,389.03x = 70,097,561.54
  5. Step 5: Solve for x
    x = 70,097,561.54/9,389.03
  6. Step 6: Final answer
    x = 7,465.90

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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.