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Finding the Fourth Proportional to 6,710.80, 9,247.08 and 4,723.60

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Solution

The fourth proportional to 6,710.80, 9,247.08 and 4,723.60 is: 6,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.80 : 9,247.08 = 4,723.60 : x
  2. Step 2: Convert to fraction form
    6,710.80/9,247.08 = 4,723.60/x
  3. Step 3: Cross multiply
    6,710.80x = 9,247.08 × 4,723.60
  4. Step 4: Simplify right side
    6,710.80x = 43,679,507.09
  5. Step 5: Solve for x
    x = 43,679,507.09/6,710.80
  6. Step 6: Final answer
    x = 6,508.84

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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.