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Finding the Fourth Proportional to 9,346.41, 12,896.56 and 5,569.48

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Solution

The fourth proportional to 9,346.41, 12,896.56 and 5,569.48 is: 7,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.41 : 12,896.56 = 5,569.48 : x
  2. Step 2: Convert to fraction form
    9,346.41/12,896.56 = 5,569.48/x
  3. Step 3: Cross multiply
    9,346.41x = 12,896.56 × 5,569.48
  4. Step 4: Simplify right side
    9,346.41x = 71,827,040.66
  5. Step 5: Solve for x
    x = 71,827,040.66/9,346.41
  6. Step 6: Final answer
    x = 7,684.99

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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.