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Finding the Fourth Proportional to 9,953.71, 14,931.93 and 3,378.13

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Solution

The fourth proportional to 9,953.71, 14,931.93 and 3,378.13 is: 5,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.71 : 14,931.93 = 3,378.13 : x
  2. Step 2: Convert to fraction form
    9,953.71/14,931.93 = 3,378.13/x
  3. Step 3: Cross multiply
    9,953.71x = 14,931.93 × 3,378.13
  4. Step 4: Simplify right side
    9,953.71x = 50,442,000.69
  5. Step 5: Solve for x
    x = 50,442,000.69/9,953.71
  6. Step 6: Final answer
    x = 5,067.66

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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.