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Finding the Fourth Proportional to 9,104.80, 12,564.09 and 5,125.75

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Solution

The fourth proportional to 9,104.80, 12,564.09 and 5,125.75 is: 7,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.80 : 12,564.09 = 5,125.75 : x
  2. Step 2: Convert to fraction form
    9,104.80/12,564.09 = 5,125.75/x
  3. Step 3: Cross multiply
    9,104.80x = 12,564.09 × 5,125.75
  4. Step 4: Simplify right side
    9,104.80x = 64,400,384.32
  5. Step 5: Solve for x
    x = 64,400,384.32/9,104.80
  6. Step 6: Final answer
    x = 7,073.23

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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.