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Finding the Fourth Proportional to 7,059.78, 9,742.43 and 3,873.01

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Solution

The fourth proportional to 7,059.78, 9,742.43 and 3,873.01 is: 5,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.78 : 9,742.43 = 3,873.01 : x
  2. Step 2: Convert to fraction form
    7,059.78/9,742.43 = 3,873.01/x
  3. Step 3: Cross multiply
    7,059.78x = 9,742.43 × 3,873.01
  4. Step 4: Simplify right side
    7,059.78x = 37,732,528.81
  5. Step 5: Solve for x
    x = 37,732,528.81/7,059.78
  6. Step 6: Final answer
    x = 5,344.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.