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Finding the Fourth Proportional to 9,800.64, 14,703.12 and 3,226.55

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Solution

The fourth proportional to 9,800.64, 14,703.12 and 3,226.55 is: 4,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.64 : 14,703.12 = 3,226.55 : x
  2. Step 2: Convert to fraction form
    9,800.64/14,703.12 = 3,226.55/x
  3. Step 3: Cross multiply
    9,800.64x = 14,703.12 × 3,226.55
  4. Step 4: Simplify right side
    9,800.64x = 47,440,278.32
  5. Step 5: Solve for x
    x = 47,440,278.32/9,800.64
  6. Step 6: Final answer
    x = 4,840.53

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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.