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Finding the Fourth Proportional to 9,772.30, 13,485.82 and 5,296.04

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Solution

The fourth proportional to 9,772.30, 13,485.82 and 5,296.04 is: 7,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.30 : 13,485.82 = 5,296.04 : x
  2. Step 2: Convert to fraction form
    9,772.30/13,485.82 = 5,296.04/x
  3. Step 3: Cross multiply
    9,772.30x = 13,485.82 × 5,296.04
  4. Step 4: Simplify right side
    9,772.30x = 71,421,462.63
  5. Step 5: Solve for x
    x = 71,421,462.63/9,772.30
  6. Step 6: Final answer
    x = 7,308.56

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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.