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Finding the Fourth Proportional to 7,133.24, 9,843.46 and 3,946.35

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Solution

The fourth proportional to 7,133.24, 9,843.46 and 3,946.35 is: 5,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.24 : 9,843.46 = 3,946.35 : x
  2. Step 2: Convert to fraction form
    7,133.24/9,843.46 = 3,946.35/x
  3. Step 3: Cross multiply
    7,133.24x = 9,843.46 × 3,946.35
  4. Step 4: Simplify right side
    7,133.24x = 38,845,717.67
  5. Step 5: Solve for x
    x = 38,845,717.67/7,133.24
  6. Step 6: Final answer
    x = 5,445.74

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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.