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Finding the Fourth Proportional to 9,859.56, 14,788.88 and 3,285.50

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Solution

The fourth proportional to 9,859.56, 14,788.88 and 3,285.50 is: 4,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.56 : 14,788.88 = 3,285.50 : x
  2. Step 2: Convert to fraction form
    9,859.56/14,788.88 = 3,285.50/x
  3. Step 3: Cross multiply
    9,859.56x = 14,788.88 × 3,285.50
  4. Step 4: Simplify right side
    9,859.56x = 48,588,865.24
  5. Step 5: Solve for x
    x = 48,588,865.24/9,859.56
  6. Step 6: Final answer
    x = 4,928.10

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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.