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Finding the Fourth Proportional to 9,772.36, 13,485.89 and 5,296.10

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Solution

The fourth proportional to 9,772.36, 13,485.89 and 5,296.10 is: 7,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.36 : 13,485.89 = 5,296.10 : x
  2. Step 2: Convert to fraction form
    9,772.36/13,485.89 = 5,296.10/x
  3. Step 3: Cross multiply
    9,772.36x = 13,485.89 × 5,296.10
  4. Step 4: Simplify right side
    9,772.36x = 71,422,567.84
  5. Step 5: Solve for x
    x = 71,422,567.84/9,772.36
  6. Step 6: Final answer
    x = 7,308.63

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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.