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Finding the Fourth Proportional to 9,211.59, 12,714.05 and 5,853.75

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Solution

The fourth proportional to 9,211.59, 12,714.05 and 5,853.75 is: 8,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.59 : 12,714.05 = 5,853.75 : x
  2. Step 2: Convert to fraction form
    9,211.59/12,714.05 = 5,853.75/x
  3. Step 3: Cross multiply
    9,211.59x = 12,714.05 × 5,853.75
  4. Step 4: Simplify right side
    9,211.59x = 74,424,897.68
  5. Step 5: Solve for x
    x = 74,424,897.68/9,211.59
  6. Step 6: Final answer
    x = 8,079.48

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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.