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Finding the Fourth Proportional to 9,420.16, 12,999.36 and 5,643.48

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Solution

The fourth proportional to 9,420.16, 12,999.36 and 5,643.48 is: 7,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.16 : 12,999.36 = 5,643.48 : x
  2. Step 2: Convert to fraction form
    9,420.16/12,999.36 = 5,643.48/x
  3. Step 3: Cross multiply
    9,420.16x = 12,999.36 × 5,643.48
  4. Step 4: Simplify right side
    9,420.16x = 73,361,628.17
  5. Step 5: Solve for x
    x = 73,361,628.17/9,420.16
  6. Step 6: Final answer
    x = 7,787.73

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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.