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Finding the Fourth Proportional to 9,851.92, 13,590.59 and 6,665.36

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Solution

The fourth proportional to 9,851.92, 13,590.59 and 6,665.36 is: 9,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.92 : 13,590.59 = 6,665.36 : x
  2. Step 2: Convert to fraction form
    9,851.92/13,590.59 = 6,665.36/x
  3. Step 3: Cross multiply
    9,851.92x = 13,590.59 × 6,665.36
  4. Step 4: Simplify right side
    9,851.92x = 90,586,073.68
  5. Step 5: Solve for x
    x = 90,586,073.68/9,851.92
  6. Step 6: Final answer
    x = 9,194.77

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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.