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Finding the Fourth Proportional to 9,772.34, 13,485.83 and 5,296.08

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Solution

The fourth proportional to 9,772.34, 13,485.83 and 5,296.08 is: 7,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.34 : 13,485.83 = 5,296.08 : x
  2. Step 2: Convert to fraction form
    9,772.34/13,485.83 = 5,296.08/x
  3. Step 3: Cross multiply
    9,772.34x = 13,485.83 × 5,296.08
  4. Step 4: Simplify right side
    9,772.34x = 71,422,008.07
  5. Step 5: Solve for x
    x = 71,422,008.07/9,772.34
  6. Step 6: Final answer
    x = 7,308.59

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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.