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Finding the Fourth Proportional to 9,423.64, 14,133.30 and 4,231

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Solution

The fourth proportional to 9,423.64, 14,133.30 and 4,231 is: 6,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.64 : 14,133.30 = 4,231 : x
  2. Step 2: Convert to fraction form
    9,423.64/14,133.30 = 4,231/x
  3. Step 3: Cross multiply
    9,423.64x = 14,133.30 × 4,231
  4. Step 4: Simplify right side
    9,423.64x = 59,797,992.30
  5. Step 5: Solve for x
    x = 59,797,992.30/9,423.64
  6. Step 6: Final answer
    x = 6,345.53

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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.