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Finding the Fourth Proportional to 7,112.70, 9,820.78 and 4,596.30

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Solution

The fourth proportional to 7,112.70, 9,820.78 and 4,596.30 is: 6,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.70 : 9,820.78 = 4,596.30 : x
  2. Step 2: Convert to fraction form
    7,112.70/9,820.78 = 4,596.30/x
  3. Step 3: Cross multiply
    7,112.70x = 9,820.78 × 4,596.30
  4. Step 4: Simplify right side
    7,112.70x = 45,139,239.62
  5. Step 5: Solve for x
    x = 45,139,239.62/7,112.70
  6. Step 6: Final answer
    x = 6,346.29

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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.