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Finding the Fourth Proportional to 9,291.78, 13,907.34 and 6,825.96

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Solution

The fourth proportional to 9,291.78, 13,907.34 and 6,825.96 is: 10,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.78 : 13,907.34 = 6,825.96 : x
  2. Step 2: Convert to fraction form
    9,291.78/13,907.34 = 6,825.96/x
  3. Step 3: Cross multiply
    9,291.78x = 13,907.34 × 6,825.96
  4. Step 4: Simplify right side
    9,291.78x = 94,930,946.55
  5. Step 5: Solve for x
    x = 94,930,946.55/9,291.78
  6. Step 6: Final answer
    x = 10,216.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.