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Finding the Fourth Proportional to 9,478.35, 14,188.36 and 6,184.35

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Solution

The fourth proportional to 9,478.35, 14,188.36 and 6,184.35 is: 9,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.35 : 14,188.36 = 6,184.35 : x
  2. Step 2: Convert to fraction form
    9,478.35/14,188.36 = 6,184.35/x
  3. Step 3: Cross multiply
    9,478.35x = 14,188.36 × 6,184.35
  4. Step 4: Simplify right side
    9,478.35x = 87,745,682.30
  5. Step 5: Solve for x
    x = 87,745,682.30/9,478.35
  6. Step 6: Final answer
    x = 9,257.49

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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.