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Finding the Fourth Proportional to 9,150.77, 13,726.16 and 3,307.84

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Solution

The fourth proportional to 9,150.77, 13,726.16 and 3,307.84 is: 4,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.77 : 13,726.16 = 3,307.84 : x
  2. Step 2: Convert to fraction form
    9,150.77/13,726.16 = 3,307.84/x
  3. Step 3: Cross multiply
    9,150.77x = 13,726.16 × 3,307.84
  4. Step 4: Simplify right side
    9,150.77x = 45,403,902.64
  5. Step 5: Solve for x
    x = 45,403,902.64/9,150.77
  6. Step 6: Final answer
    x = 4,961.76

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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.