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Finding the Fourth Proportional to 9,788.02, 14,671.02 and 4,861.20

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Solution

The fourth proportional to 9,788.02, 14,671.02 and 4,861.20 is: 7,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.02 : 14,671.02 = 4,861.20 : x
  2. Step 2: Convert to fraction form
    9,788.02/14,671.02 = 4,861.20/x
  3. Step 3: Cross multiply
    9,788.02x = 14,671.02 × 4,861.20
  4. Step 4: Simplify right side
    9,788.02x = 71,318,762.42
  5. Step 5: Solve for x
    x = 71,318,762.42/9,788.02
  6. Step 6: Final answer
    x = 7,286.33

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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.