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Finding the Fourth Proportional to 9,386.79, 12,963.47 and 8,121.78

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Solution

The fourth proportional to 9,386.79, 12,963.47 and 8,121.78 is: 11,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.79 : 12,963.47 = 8,121.78 : x
  2. Step 2: Convert to fraction form
    9,386.79/12,963.47 = 8,121.78/x
  3. Step 3: Cross multiply
    9,386.79x = 12,963.47 × 8,121.78
  4. Step 4: Simplify right side
    9,386.79x = 105,286,410.77
  5. Step 5: Solve for x
    x = 105,286,410.77/9,386.79
  6. Step 6: Final answer
    x = 11,216.44

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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.