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Finding the Fourth Proportional to 7,193.72, 9,929.40 and 4,675.88

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Solution

The fourth proportional to 7,193.72, 9,929.40 and 4,675.88 is: 6,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.72 : 9,929.40 = 4,675.88 : x
  2. Step 2: Convert to fraction form
    7,193.72/9,929.40 = 4,675.88/x
  3. Step 3: Cross multiply
    7,193.72x = 9,929.40 × 4,675.88
  4. Step 4: Simplify right side
    7,193.72x = 46,428,682.87
  5. Step 5: Solve for x
    x = 46,428,682.87/7,193.72
  6. Step 6: Final answer
    x = 6,454.06

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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.