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Finding the Fourth Proportional to 7,135.36, 9,846.71 and 3,948.42

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Solution

The fourth proportional to 7,135.36, 9,846.71 and 3,948.42 is: 5,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.36 : 9,846.71 = 3,948.42 : x
  2. Step 2: Convert to fraction form
    7,135.36/9,846.71 = 3,948.42/x
  3. Step 3: Cross multiply
    7,135.36x = 9,846.71 × 3,948.42
  4. Step 4: Simplify right side
    7,135.36x = 38,878,946.70
  5. Step 5: Solve for x
    x = 38,878,946.70/7,135.36
  6. Step 6: Final answer
    x = 5,448.77

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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.