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Finding the Fourth Proportional to 9,365.64, 12,924 and 5,174.04

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Solution

The fourth proportional to 9,365.64, 12,924 and 5,174.04 is: 7,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.64 : 12,924 = 5,174.04 : x
  2. Step 2: Convert to fraction form
    9,365.64/12,924 = 5,174.04/x
  3. Step 3: Cross multiply
    9,365.64x = 12,924 × 5,174.04
  4. Step 4: Simplify right side
    9,365.64x = 66,869,292.96
  5. Step 5: Solve for x
    x = 66,869,292.96/9,365.64
  6. Step 6: Final answer
    x = 7,139.85

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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.