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Finding the Fourth Proportional to 9,478.98, 14,223.27 and 6,394.50

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Solution

The fourth proportional to 9,478.98, 14,223.27 and 6,394.50 is: 9,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.98 : 14,223.27 = 6,394.50 : x
  2. Step 2: Convert to fraction form
    9,478.98/14,223.27 = 6,394.50/x
  3. Step 3: Cross multiply
    9,478.98x = 14,223.27 × 6,394.50
  4. Step 4: Simplify right side
    9,478.98x = 90,950,700.02
  5. Step 5: Solve for x
    x = 90,950,700.02/9,478.98
  6. Step 6: Final answer
    x = 9,594.99

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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.