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Finding the Fourth Proportional to 7,030.76, 9,702.44 and 4,236.80

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Solution

The fourth proportional to 7,030.76, 9,702.44 and 4,236.80 is: 5,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.76 : 9,702.44 = 4,236.80 : x
  2. Step 2: Convert to fraction form
    7,030.76/9,702.44 = 4,236.80/x
  3. Step 3: Cross multiply
    7,030.76x = 9,702.44 × 4,236.80
  4. Step 4: Simplify right side
    7,030.76x = 41,107,297.79
  5. Step 5: Solve for x
    x = 41,107,297.79/7,030.76
  6. Step 6: Final answer
    x = 5,846.78

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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.