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Finding the Fourth Proportional to 9,785.77, 13,504.40 and 5,309.60

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Solution

The fourth proportional to 9,785.77, 13,504.40 and 5,309.60 is: 7,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.77 : 13,504.40 = 5,309.60 : x
  2. Step 2: Convert to fraction form
    9,785.77/13,504.40 = 5,309.60/x
  3. Step 3: Cross multiply
    9,785.77x = 13,504.40 × 5,309.60
  4. Step 4: Simplify right side
    9,785.77x = 71,702,962.24
  5. Step 5: Solve for x
    x = 71,702,962.24/9,785.77
  6. Step 6: Final answer
    x = 7,327.27

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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.