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Finding the Fourth Proportional to 9,642.30, 14,463.46 and 3,068.49

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Solution

The fourth proportional to 9,642.30, 14,463.46 and 3,068.49 is: 4,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.30 : 14,463.46 = 3,068.49 : x
  2. Step 2: Convert to fraction form
    9,642.30/14,463.46 = 3,068.49/x
  3. Step 3: Cross multiply
    9,642.30x = 14,463.46 × 3,068.49
  4. Step 4: Simplify right side
    9,642.30x = 44,380,982.38
  5. Step 5: Solve for x
    x = 44,380,982.38/9,642.30
  6. Step 6: Final answer
    x = 4,602.74

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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.