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Finding the Fourth Proportional to 9,767.61, 13,485.06 and 6,416.27

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Solution

The fourth proportional to 9,767.61, 13,485.06 and 6,416.27 is: 8,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.61 : 13,485.06 = 6,416.27 : x
  2. Step 2: Convert to fraction form
    9,767.61/13,485.06 = 6,416.27/x
  3. Step 3: Cross multiply
    9,767.61x = 13,485.06 × 6,416.27
  4. Step 4: Simplify right side
    9,767.61x = 86,523,785.93
  5. Step 5: Solve for x
    x = 86,523,785.93/9,767.61
  6. Step 6: Final answer
    x = 8,858.24

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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.