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Finding the Fourth Proportional to 9,104.54, 12,564.65 and 5,125.91

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Solution

The fourth proportional to 9,104.54, 12,564.65 and 5,125.91 is: 7,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.54 : 12,564.65 = 5,125.91 : x
  2. Step 2: Convert to fraction form
    9,104.54/12,564.65 = 5,125.91/x
  3. Step 3: Cross multiply
    9,104.54x = 12,564.65 × 5,125.91
  4. Step 4: Simplify right side
    9,104.54x = 64,405,215.07
  5. Step 5: Solve for x
    x = 64,405,215.07/9,104.54
  6. Step 6: Final answer
    x = 7,073.97

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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.