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Finding the Fourth Proportional to 9,399.08, 12,970.86 and 5,420.90

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Solution

The fourth proportional to 9,399.08, 12,970.86 and 5,420.90 is: 7,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.08 : 12,970.86 = 5,420.90 : x
  2. Step 2: Convert to fraction form
    9,399.08/12,970.86 = 5,420.90/x
  3. Step 3: Cross multiply
    9,399.08x = 12,970.86 × 5,420.90
  4. Step 4: Simplify right side
    9,399.08x = 70,313,734.97
  5. Step 5: Solve for x
    x = 70,313,734.97/9,399.08
  6. Step 6: Final answer
    x = 7,480.92

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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.