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Finding the Fourth Proportional to 9,287.60, 12,817.31 and 5,307.66

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Solution

The fourth proportional to 9,287.60, 12,817.31 and 5,307.66 is: 7,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.60 : 12,817.31 = 5,307.66 : x
  2. Step 2: Convert to fraction form
    9,287.60/12,817.31 = 5,307.66/x
  3. Step 3: Cross multiply
    9,287.60x = 12,817.31 × 5,307.66
  4. Step 4: Simplify right side
    9,287.60x = 68,029,897.06
  5. Step 5: Solve for x
    x = 68,029,897.06/9,287.60
  6. Step 6: Final answer
    x = 7,324.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.