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Finding the Fourth Proportional to 9,362.94, 12,921.64 and 5,385.34

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Solution

The fourth proportional to 9,362.94, 12,921.64 and 5,385.34 is: 7,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.94 : 12,921.64 = 5,385.34 : x
  2. Step 2: Convert to fraction form
    9,362.94/12,921.64 = 5,385.34/x
  3. Step 3: Cross multiply
    9,362.94x = 12,921.64 × 5,385.34
  4. Step 4: Simplify right side
    9,362.94x = 69,587,378.99
  5. Step 5: Solve for x
    x = 69,587,378.99/9,362.94
  6. Step 6: Final answer
    x = 7,432.21

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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.