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Finding the Fourth Proportional to 9,768.11, 13,485.75 and 6,416.77

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Solution

The fourth proportional to 9,768.11, 13,485.75 and 6,416.77 is: 8,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.11 : 13,485.75 = 6,416.77 : x
  2. Step 2: Convert to fraction form
    9,768.11/13,485.75 = 6,416.77/x
  3. Step 3: Cross multiply
    9,768.11x = 13,485.75 × 6,416.77
  4. Step 4: Simplify right side
    9,768.11x = 86,534,956.03
  5. Step 5: Solve for x
    x = 86,534,956.03/9,768.11
  6. Step 6: Final answer
    x = 8,858.93

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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.