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Finding the Fourth Proportional to 9,475.44, 14,201.81 and 4,204.51

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Solution

The fourth proportional to 9,475.44, 14,201.81 and 4,204.51 is: 6,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.44 : 14,201.81 = 4,204.51 : x
  2. Step 2: Convert to fraction form
    9,475.44/14,201.81 = 4,204.51/x
  3. Step 3: Cross multiply
    9,475.44x = 14,201.81 × 4,204.51
  4. Step 4: Simplify right side
    9,475.44x = 59,711,599.58
  5. Step 5: Solve for x
    x = 59,711,599.58/9,475.44
  6. Step 6: Final answer
    x = 6,301.72

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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.