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Finding the Fourth Proportional to 9,662.36, 13,336.14 and 5,886.77

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Solution

The fourth proportional to 9,662.36, 13,336.14 and 5,886.77 is: 8,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.36 : 13,336.14 = 5,886.77 : x
  2. Step 2: Convert to fraction form
    9,662.36/13,336.14 = 5,886.77/x
  3. Step 3: Cross multiply
    9,662.36x = 13,336.14 × 5,886.77
  4. Step 4: Simplify right side
    9,662.36x = 78,506,788.87
  5. Step 5: Solve for x
    x = 78,506,788.87/9,662.36
  6. Step 6: Final answer
    x = 8,125.01

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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.