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Finding the Fourth Proportional to 9,402.53, 12,971.87 and 5,369.59

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Solution

The fourth proportional to 9,402.53, 12,971.87 and 5,369.59 is: 7,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.53 : 12,971.87 = 5,369.59 : x
  2. Step 2: Convert to fraction form
    9,402.53/12,971.87 = 5,369.59/x
  3. Step 3: Cross multiply
    9,402.53x = 12,971.87 × 5,369.59
  4. Step 4: Simplify right side
    9,402.53x = 69,653,623.43
  5. Step 5: Solve for x
    x = 69,653,623.43/9,402.53
  6. Step 6: Final answer
    x = 7,407.97

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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.