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Finding the Fourth Proportional to 9,362.55, 12,920.20 and 5,114.00

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Solution

The fourth proportional to 9,362.55, 12,920.20 and 5,114.00 is: 7,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.55 : 12,920.20 = 5,114.00 : x
  2. Step 2: Convert to fraction form
    9,362.55/12,920.20 = 5,114.00/x
  3. Step 3: Cross multiply
    9,362.55x = 12,920.20 × 5,114.00
  4. Step 4: Simplify right side
    9,362.55x = 66,073,922.32
  5. Step 5: Solve for x
    x = 66,073,922.32/9,362.55
  6. Step 6: Final answer
    x = 7,057.26

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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.