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Finding the Fourth Proportional to 7,170.72, 9,894.52 and 4,026.30

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Solution

The fourth proportional to 7,170.72, 9,894.52 and 4,026.30 is: 5,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.72 : 9,894.52 = 4,026.30 : x
  2. Step 2: Convert to fraction form
    7,170.72/9,894.52 = 4,026.30/x
  3. Step 3: Cross multiply
    7,170.72x = 9,894.52 × 4,026.30
  4. Step 4: Simplify right side
    7,170.72x = 39,838,305.88
  5. Step 5: Solve for x
    x = 39,838,305.88/7,170.72
  6. Step 6: Final answer
    x = 5,555.69

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