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Finding the Fourth Proportional to 9,805.76, 14,704.64 and 4,873.60

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Solution

The fourth proportional to 9,805.76, 14,704.64 and 4,873.60 is: 7,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.76 : 14,704.64 = 4,873.60 : x
  2. Step 2: Convert to fraction form
    9,805.76/14,704.64 = 4,873.60/x
  3. Step 3: Cross multiply
    9,805.76x = 14,704.64 × 4,873.60
  4. Step 4: Simplify right side
    9,805.76x = 71,664,533.50
  5. Step 5: Solve for x
    x = 71,664,533.50/9,805.76
  6. Step 6: Final answer
    x = 7,308.41

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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.