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Finding the Fourth Proportional to 9,463.52, 14,197 and 3,913.86

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Solution

The fourth proportional to 9,463.52, 14,197 and 3,913.86 is: 5,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.52 : 14,197 = 3,913.86 : x
  2. Step 2: Convert to fraction form
    9,463.52/14,197 = 3,913.86/x
  3. Step 3: Cross multiply
    9,463.52x = 14,197 × 3,913.86
  4. Step 4: Simplify right side
    9,463.52x = 55,565,070.42
  5. Step 5: Solve for x
    x = 55,565,070.42/9,463.52
  6. Step 6: Final answer
    x = 5,871.50

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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.