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Finding the Fourth Proportional to 9,171.65, 12,656.67 and 5,394.08

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Solution

The fourth proportional to 9,171.65, 12,656.67 and 5,394.08 is: 7,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.65 : 12,656.67 = 5,394.08 : x
  2. Step 2: Convert to fraction form
    9,171.65/12,656.67 = 5,394.08/x
  3. Step 3: Cross multiply
    9,171.65x = 12,656.67 × 5,394.08
  4. Step 4: Simplify right side
    9,171.65x = 68,271,090.51
  5. Step 5: Solve for x
    x = 68,271,090.51/9,171.65
  6. Step 6: Final answer
    x = 7,443.71

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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.