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Finding the Fourth Proportional to 9,359.40, 12,917.16 and 5,380.14

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Solution

The fourth proportional to 9,359.40, 12,917.16 and 5,380.14 is: 7,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.40 : 12,917.16 = 5,380.14 : x
  2. Step 2: Convert to fraction form
    9,359.40/12,917.16 = 5,380.14/x
  3. Step 3: Cross multiply
    9,359.40x = 12,917.16 × 5,380.14
  4. Step 4: Simplify right side
    9,359.40x = 69,496,129.20
  5. Step 5: Solve for x
    x = 69,496,129.20/9,359.40
  6. Step 6: Final answer
    x = 7,425.28

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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.