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Finding the Fourth Proportional to 7,073.62, 9,758.94 and 4,383.60

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Solution

The fourth proportional to 7,073.62, 9,758.94 and 4,383.60 is: 6,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.62 : 9,758.94 = 4,383.60 : x
  2. Step 2: Convert to fraction form
    7,073.62/9,758.94 = 4,383.60/x
  3. Step 3: Cross multiply
    7,073.62x = 9,758.94 × 4,383.60
  4. Step 4: Simplify right side
    7,073.62x = 42,779,289.38
  5. Step 5: Solve for x
    x = 42,779,289.38/7,073.62
  6. Step 6: Final answer
    x = 6,047.72

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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.