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Finding the Fourth Proportional to 6,780.30, 9,364.13 and 4,661.43

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Solution

The fourth proportional to 6,780.30, 9,364.13 and 4,661.43 is: 6,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.30 : 9,364.13 = 4,661.43 : x
  2. Step 2: Convert to fraction form
    6,780.30/9,364.13 = 4,661.43/x
  3. Step 3: Cross multiply
    6,780.30x = 9,364.13 × 4,661.43
  4. Step 4: Simplify right side
    6,780.30x = 43,650,236.51
  5. Step 5: Solve for x
    x = 43,650,236.51/6,780.30
  6. Step 6: Final answer
    x = 6,437.80

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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.