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Finding the Fourth Proportional to 9,578.46, 14,369.12 and 4,895.94

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Solution

The fourth proportional to 9,578.46, 14,369.12 and 4,895.94 is: 7,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.46 : 14,369.12 = 4,895.94 : x
  2. Step 2: Convert to fraction form
    9,578.46/14,369.12 = 4,895.94/x
  3. Step 3: Cross multiply
    9,578.46x = 14,369.12 × 4,895.94
  4. Step 4: Simplify right side
    9,578.46x = 70,350,349.37
  5. Step 5: Solve for x
    x = 70,350,349.37/9,578.46
  6. Step 6: Final answer
    x = 7,344.64

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Why These Related Problems?

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