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Finding the Fourth Proportional to 9,800.32, 14,698.54 and 4,800.55

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Solution

The fourth proportional to 9,800.32, 14,698.54 and 4,800.55 is: 7,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.32 : 14,698.54 = 4,800.55 : x
  2. Step 2: Convert to fraction form
    9,800.32/14,698.54 = 4,800.55/x
  3. Step 3: Cross multiply
    9,800.32x = 14,698.54 × 4,800.55
  4. Step 4: Simplify right side
    9,800.32x = 70,561,076.20
  5. Step 5: Solve for x
    x = 70,561,076.20/9,800.32
  6. Step 6: Final answer
    x = 7,199.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.