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Finding the Fourth Proportional to 9,714.53, 13,405.77 and 5,888.44

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Solution

The fourth proportional to 9,714.53, 13,405.77 and 5,888.44 is: 8,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.53 : 13,405.77 = 5,888.44 : x
  2. Step 2: Convert to fraction form
    9,714.53/13,405.77 = 5,888.44/x
  3. Step 3: Cross multiply
    9,714.53x = 13,405.77 × 5,888.44
  4. Step 4: Simplify right side
    9,714.53x = 78,938,997.09
  5. Step 5: Solve for x
    x = 78,938,997.09/9,714.53
  6. Step 6: Final answer
    x = 8,125.87

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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.