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Finding the Fourth Proportional to 9,040.86, 13,564.26 and 5,705.25

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Solution

The fourth proportional to 9,040.86, 13,564.26 and 5,705.25 is: 8,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.86 : 13,564.26 = 5,705.25 : x
  2. Step 2: Convert to fraction form
    9,040.86/13,564.26 = 5,705.25/x
  3. Step 3: Cross multiply
    9,040.86x = 13,564.26 × 5,705.25
  4. Step 4: Simplify right side
    9,040.86x = 77,387,443.50
  5. Step 5: Solve for x
    x = 77,387,443.50/9,040.86
  6. Step 6: Final answer
    x = 8,559.74

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Why These Related Problems?

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