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Finding the Fourth Proportional to 9,578.46, 14,341.70 and 4,951.74

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Solution

The fourth proportional to 9,578.46, 14,341.70 and 4,951.74 is: 7,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.46 : 14,341.70 = 4,951.74 : x
  2. Step 2: Convert to fraction form
    9,578.46/14,341.70 = 4,951.74/x
  3. Step 3: Cross multiply
    9,578.46x = 14,341.70 × 4,951.74
  4. Step 4: Simplify right side
    9,578.46x = 71,016,369.56
  5. Step 5: Solve for x
    x = 71,016,369.56/9,578.46
  6. Step 6: Final answer
    x = 7,414.17

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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.