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Finding the Fourth Proportional to 9,146.97, 13,710.10 and 4,206.41

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Solution

The fourth proportional to 9,146.97, 13,710.10 and 4,206.41 is: 6,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.97 : 13,710.10 = 4,206.41 : x
  2. Step 2: Convert to fraction form
    9,146.97/13,710.10 = 4,206.41/x
  3. Step 3: Cross multiply
    9,146.97x = 13,710.10 × 4,206.41
  4. Step 4: Simplify right side
    9,146.97x = 57,670,301.74
  5. Step 5: Solve for x
    x = 57,670,301.74/9,146.97
  6. Step 6: Final answer
    x = 6,304.85

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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.