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Finding the Fourth Proportional to 9,116.15, 12,573.83 and 5,714.15

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Solution

The fourth proportional to 9,116.15, 12,573.83 and 5,714.15 is: 7,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.15 : 12,573.83 = 5,714.15 : x
  2. Step 2: Convert to fraction form
    9,116.15/12,573.83 = 5,714.15/x
  3. Step 3: Cross multiply
    9,116.15x = 12,573.83 × 5,714.15
  4. Step 4: Simplify right side
    9,116.15x = 71,848,702.11
  5. Step 5: Solve for x
    x = 71,848,702.11/9,116.15
  6. Step 6: Final answer
    x = 7,881.48

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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.