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Finding the Fourth Proportional to 9,343.61, 12,894.81 and 5,711.21

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Solution

The fourth proportional to 9,343.61, 12,894.81 and 5,711.21 is: 7,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.61 : 12,894.81 = 5,711.21 : x
  2. Step 2: Convert to fraction form
    9,343.61/12,894.81 = 5,711.21/x
  3. Step 3: Cross multiply
    9,343.61x = 12,894.81 × 5,711.21
  4. Step 4: Simplify right side
    9,343.61x = 73,644,967.82
  5. Step 5: Solve for x
    x = 73,644,967.82/9,343.61
  6. Step 6: Final answer
    x = 7,881.86

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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.