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Finding the Fourth Proportional to 9,617.00, 13,270.14 and 5,840.96

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Solution

The fourth proportional to 9,617.00, 13,270.14 and 5,840.96 is: 8,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.00 : 13,270.14 = 5,840.96 : x
  2. Step 2: Convert to fraction form
    9,617.00/13,270.14 = 5,840.96/x
  3. Step 3: Cross multiply
    9,617.00x = 13,270.14 × 5,840.96
  4. Step 4: Simplify right side
    9,617.00x = 77,510,290.58
  5. Step 5: Solve for x
    x = 77,510,290.58/9,617.00
  6. Step 6: Final answer
    x = 8,059.72

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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.