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Finding the Fourth Proportional to 7,105.83, 9,794.30 and 4,747.11

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Solution

The fourth proportional to 7,105.83, 9,794.30 and 4,747.11 is: 6,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.83 : 9,794.30 = 4,747.11 : x
  2. Step 2: Convert to fraction form
    7,105.83/9,794.30 = 4,747.11/x
  3. Step 3: Cross multiply
    7,105.83x = 9,794.30 × 4,747.11
  4. Step 4: Simplify right side
    7,105.83x = 46,494,595.74
  5. Step 5: Solve for x
    x = 46,494,595.74/7,105.83
  6. Step 6: Final answer
    x = 6,543.16

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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.