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Finding the Fourth Proportional to 9,953.96, 14,932.31 and 3,378.38

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Solution

The fourth proportional to 9,953.96, 14,932.31 and 3,378.38 is: 5,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.96 : 14,932.31 = 3,378.38 : x
  2. Step 2: Convert to fraction form
    9,953.96/14,932.31 = 3,378.38/x
  3. Step 3: Cross multiply
    9,953.96x = 14,932.31 × 3,378.38
  4. Step 4: Simplify right side
    9,953.96x = 50,446,925.90
  5. Step 5: Solve for x
    x = 50,446,925.90/9,953.96
  6. Step 6: Final answer
    x = 5,068.03

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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.