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Finding the Fourth Proportional to 9,772.00, 13,485.23 and 5,295.71

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Solution

The fourth proportional to 9,772.00, 13,485.23 and 5,295.71 is: 7,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.00 : 13,485.23 = 5,295.71 : x
  2. Step 2: Convert to fraction form
    9,772.00/13,485.23 = 5,295.71/x
  3. Step 3: Cross multiply
    9,772.00x = 13,485.23 × 5,295.71
  4. Step 4: Simplify right side
    9,772.00x = 71,413,840.88
  5. Step 5: Solve for x
    x = 71,413,840.88/9,772.00
  6. Step 6: Final answer
    x = 7,308.01

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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.