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Finding the Fourth Proportional to 9,431.57, 14,133.93 and 6,946.85

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Solution

The fourth proportional to 9,431.57, 14,133.93 and 6,946.85 is: 10,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.57 : 14,133.93 = 6,946.85 : x
  2. Step 2: Convert to fraction form
    9,431.57/14,133.93 = 6,946.85/x
  3. Step 3: Cross multiply
    9,431.57x = 14,133.93 × 6,946.85
  4. Step 4: Simplify right side
    9,431.57x = 98,186,291.62
  5. Step 5: Solve for x
    x = 98,186,291.62/9,431.57
  6. Step 6: Final answer
    x = 10,410.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.