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Finding the Fourth Proportional to 9,693.26, 13,376.82 and 5,714.14

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Solution

The fourth proportional to 9,693.26, 13,376.82 and 5,714.14 is: 7,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.26 : 13,376.82 = 5,714.14 : x
  2. Step 2: Convert to fraction form
    9,693.26/13,376.82 = 5,714.14/x
  3. Step 3: Cross multiply
    9,693.26x = 13,376.82 × 5,714.14
  4. Step 4: Simplify right side
    9,693.26x = 76,437,010.22
  5. Step 5: Solve for x
    x = 76,437,010.22/9,693.26
  6. Step 6: Final answer
    x = 7,885.58

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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.