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Finding the Fourth Proportional to 9,146.98, 13,710.10 and 4,206.42

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Solution

The fourth proportional to 9,146.98, 13,710.10 and 4,206.42 is: 6,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.98 : 13,710.10 = 4,206.42 : x
  2. Step 2: Convert to fraction form
    9,146.98/13,710.10 = 4,206.42/x
  3. Step 3: Cross multiply
    9,146.98x = 13,710.10 × 4,206.42
  4. Step 4: Simplify right side
    9,146.98x = 57,670,438.84
  5. Step 5: Solve for x
    x = 57,670,438.84/9,146.98
  6. Step 6: Final answer
    x = 6,304.86

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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.