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Finding the Fourth Proportional to 9,690.26, 13,372.88 and 5,714.78

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Solution

The fourth proportional to 9,690.26, 13,372.88 and 5,714.78 is: 7,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.26 : 13,372.88 = 5,714.78 : x
  2. Step 2: Convert to fraction form
    9,690.26/13,372.88 = 5,714.78/x
  3. Step 3: Cross multiply
    9,690.26x = 13,372.88 × 5,714.78
  4. Step 4: Simplify right side
    9,690.26x = 76,423,067.17
  5. Step 5: Solve for x
    x = 76,423,067.17/9,690.26
  6. Step 6: Final answer
    x = 7,886.59

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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.