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Finding the Fourth Proportional to 9,239.48, 12,746.86 and 5,696.54

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Solution

The fourth proportional to 9,239.48, 12,746.86 and 5,696.54 is: 7,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.48 : 12,746.86 = 5,696.54 : x
  2. Step 2: Convert to fraction form
    9,239.48/12,746.86 = 5,696.54/x
  3. Step 3: Cross multiply
    9,239.48x = 12,746.86 × 5,696.54
  4. Step 4: Simplify right side
    9,239.48x = 72,612,919.89
  5. Step 5: Solve for x
    x = 72,612,919.89/9,239.48
  6. Step 6: Final answer
    x = 7,858.99

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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.