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Finding the Fourth Proportional to 9,735.77, 13,392.85 and 8,535.35

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Solution

The fourth proportional to 9,735.77, 13,392.85 and 8,535.35 is: 11,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.77 : 13,392.85 = 8,535.35 : x
  2. Step 2: Convert to fraction form
    9,735.77/13,392.85 = 8,535.35/x
  3. Step 3: Cross multiply
    9,735.77x = 13,392.85 × 8,535.35
  4. Step 4: Simplify right side
    9,735.77x = 114,312,662.25
  5. Step 5: Solve for x
    x = 114,312,662.25/9,735.77
  6. Step 6: Final answer
    x = 11,741.51

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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.