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Finding the Fourth Proportional to 6,347.60, 9,523.34 and 2,840.55

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Solution

The fourth proportional to 6,347.60, 9,523.34 and 2,840.55 is: 4,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.60 : 9,523.34 = 2,840.55 : x
  2. Step 2: Convert to fraction form
    6,347.60/9,523.34 = 2,840.55/x
  3. Step 3: Cross multiply
    6,347.60x = 9,523.34 × 2,840.55
  4. Step 4: Simplify right side
    6,347.60x = 27,051,555.60
  5. Step 5: Solve for x
    x = 27,051,555.60/6,347.60
  6. Step 6: Final answer
    x = 4,261.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.