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Finding the Fourth Proportional to 9,352.97, 12,908.24 and 5,374.07

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Solution

The fourth proportional to 9,352.97, 12,908.24 and 5,374.07 is: 7,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.97 : 12,908.24 = 5,374.07 : x
  2. Step 2: Convert to fraction form
    9,352.97/12,908.24 = 5,374.07/x
  3. Step 3: Cross multiply
    9,352.97x = 12,908.24 × 5,374.07
  4. Step 4: Simplify right side
    9,352.97x = 69,369,785.34
  5. Step 5: Solve for x
    x = 69,369,785.34/9,352.97
  6. Step 6: Final answer
    x = 7,416.87

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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.