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Finding the Fourth Proportional to 9,660.97, 14,497.95 and 3,420.96

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Solution

The fourth proportional to 9,660.97, 14,497.95 and 3,420.96 is: 5,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.97 : 14,497.95 = 3,420.96 : x
  2. Step 2: Convert to fraction form
    9,660.97/14,497.95 = 3,420.96/x
  3. Step 3: Cross multiply
    9,660.97x = 14,497.95 × 3,420.96
  4. Step 4: Simplify right side
    9,660.97x = 49,596,907.03
  5. Step 5: Solve for x
    x = 49,596,907.03/9,660.97
  6. Step 6: Final answer
    x = 5,133.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.