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Finding the Fourth Proportional to 9,399.02, 12,971.16 and 5,420.30

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Solution

The fourth proportional to 9,399.02, 12,971.16 and 5,420.30 is: 7,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.02 : 12,971.16 = 5,420.30 : x
  2. Step 2: Convert to fraction form
    9,399.02/12,971.16 = 5,420.30/x
  3. Step 3: Cross multiply
    9,399.02x = 12,971.16 × 5,420.30
  4. Step 4: Simplify right side
    9,399.02x = 70,307,551.45
  5. Step 5: Solve for x
    x = 70,307,551.45/9,399.02
  6. Step 6: Final answer
    x = 7,480.31

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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.