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Finding the Fourth Proportional to 9,399.10, 12,970.83 and 5,420.11

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Solution

The fourth proportional to 9,399.10, 12,970.83 and 5,420.11 is: 7,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.10 : 12,970.83 = 5,420.11 : x
  2. Step 2: Convert to fraction form
    9,399.10/12,970.83 = 5,420.11/x
  3. Step 3: Cross multiply
    9,399.10x = 12,970.83 × 5,420.11
  4. Step 4: Simplify right side
    9,399.10x = 70,303,325.39
  5. Step 5: Solve for x
    x = 70,303,325.39/9,399.10
  6. Step 6: Final answer
    x = 7,479.79

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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.