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Finding the Fourth Proportional to 6,784.80, 9,348.96 and 4,797.60

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Solution

The fourth proportional to 6,784.80, 9,348.96 and 4,797.60 is: 6,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.80 : 9,348.96 = 4,797.60 : x
  2. Step 2: Convert to fraction form
    6,784.80/9,348.96 = 4,797.60/x
  3. Step 3: Cross multiply
    6,784.80x = 9,348.96 × 4,797.60
  4. Step 4: Simplify right side
    6,784.80x = 44,852,570.50
  5. Step 5: Solve for x
    x = 44,852,570.50/6,784.80
  6. Step 6: Final answer
    x = 6,610.74

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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.