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Finding the Fourth Proportional to 9,322.37, 12,854.20 and 6,960.53

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Solution

The fourth proportional to 9,322.37, 12,854.20 and 6,960.53 is: 9,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.37 : 12,854.20 = 6,960.53 : x
  2. Step 2: Convert to fraction form
    9,322.37/12,854.20 = 6,960.53/x
  3. Step 3: Cross multiply
    9,322.37x = 12,854.20 × 6,960.53
  4. Step 4: Simplify right side
    9,322.37x = 89,472,044.73
  5. Step 5: Solve for x
    x = 89,472,044.73/9,322.37
  6. Step 6: Final answer
    x = 9,597.56

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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.