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Finding the Fourth Proportional to 9,864.52, 14,793.13 and 4,017.94

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Solution

The fourth proportional to 9,864.52, 14,793.13 and 4,017.94 is: 6,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.52 : 14,793.13 = 4,017.94 : x
  2. Step 2: Convert to fraction form
    9,864.52/14,793.13 = 4,017.94/x
  3. Step 3: Cross multiply
    9,864.52x = 14,793.13 × 4,017.94
  4. Step 4: Simplify right side
    9,864.52x = 59,437,876.79
  5. Step 5: Solve for x
    x = 59,437,876.79/9,864.52
  6. Step 6: Final answer
    x = 6,025.42

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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.