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Finding the Fourth Proportional to 9,767.74, 13,485.23 and 6,416.40

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Solution

The fourth proportional to 9,767.74, 13,485.23 and 6,416.40 is: 8,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.74 : 13,485.23 = 6,416.40 : x
  2. Step 2: Convert to fraction form
    9,767.74/13,485.23 = 6,416.40/x
  3. Step 3: Cross multiply
    9,767.74x = 13,485.23 × 6,416.40
  4. Step 4: Simplify right side
    9,767.74x = 86,526,629.77
  5. Step 5: Solve for x
    x = 86,526,629.77/9,767.74
  6. Step 6: Final answer
    x = 8,858.41

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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.