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Finding the Fourth Proportional to 9,829.64, 13,564.74 and 5,850.66

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Solution

The fourth proportional to 9,829.64, 13,564.74 and 5,850.66 is: 8,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.64 : 13,564.74 = 5,850.66 : x
  2. Step 2: Convert to fraction form
    9,829.64/13,564.74 = 5,850.66/x
  3. Step 3: Cross multiply
    9,829.64x = 13,564.74 × 5,850.66
  4. Step 4: Simplify right side
    9,829.64x = 79,362,681.73
  5. Step 5: Solve for x
    x = 79,362,681.73/9,829.64
  6. Step 6: Final answer
    x = 8,073.81

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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.