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Finding the Fourth Proportional to 9,853.50, 14,776.53 and 3,278.70

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Solution

The fourth proportional to 9,853.50, 14,776.53 and 3,278.70 is: 4,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.50 : 14,776.53 = 3,278.70 : x
  2. Step 2: Convert to fraction form
    9,853.50/14,776.53 = 3,278.70/x
  3. Step 3: Cross multiply
    9,853.50x = 14,776.53 × 3,278.70
  4. Step 4: Simplify right side
    9,853.50x = 48,447,808.91
  5. Step 5: Solve for x
    x = 48,447,808.91/9,853.50
  6. Step 6: Final answer
    x = 4,916.81

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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.